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Finding the Fourth Proportional to 145,971.40, 218,957.10 and 82,767.10

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Solution

The fourth proportional to 145,971.40, 218,957.10 and 82,767.10 is: 124,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,971.40 : 218,957.10 = 82,767.10 : x
  2. Step 2: Convert to fraction form
    145,971.40/218,957.10 = 82,767.10/x
  3. Step 3: Cross multiply
    145,971.40x = 218,957.10 × 82,767.10
  4. Step 4: Simplify right side
    145,971.40x = 18,122,444,191.41
  5. Step 5: Solve for x
    x = 18,122,444,191.41/145,971.40
  6. Step 6: Final answer
    x = 124,150.65

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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.