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Finding the Fourth Proportional to 153,808.40, 230,712.60 and 137,219.60

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Solution

The fourth proportional to 153,808.40, 230,712.60 and 137,219.60 is: 205,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,808.40 : 230,712.60 = 137,219.60 : x
  2. Step 2: Convert to fraction form
    153,808.40/230,712.60 = 137,219.60/x
  3. Step 3: Cross multiply
    153,808.40x = 230,712.60 × 137,219.60
  4. Step 4: Simplify right side
    153,808.40x = 31,658,290,686.96
  5. Step 5: Solve for x
    x = 31,658,290,686.96/153,808.40
  6. Step 6: Final answer
    x = 205,829.40

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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.