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Finding the Fourth Proportional to 96,647.60, 144,971.40 and 82,823.60

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Solution

The fourth proportional to 96,647.60, 144,971.40 and 82,823.60 is: 124,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,647.60 : 144,971.40 = 82,823.60 : x
  2. Step 2: Convert to fraction form
    96,647.60/144,971.40 = 82,823.60/x
  3. Step 3: Cross multiply
    96,647.60x = 144,971.40 × 82,823.60
  4. Step 4: Simplify right side
    96,647.60x = 12,007,053,245.04
  5. Step 5: Solve for x
    x = 12,007,053,245.04/96,647.60
  6. Step 6: Final answer
    x = 124,235.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.