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Finding the Fourth Proportional to 403,637.60, 605,024.40 and 137,151.20

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Solution

The fourth proportional to 403,637.60, 605,024.40 and 137,151.20 is: 205,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,637.60 : 605,024.40 = 137,151.20 : x
  2. Step 2: Convert to fraction form
    403,637.60/605,024.40 = 137,151.20/x
  3. Step 3: Cross multiply
    403,637.60x = 605,024.40 × 137,151.20
  4. Step 4: Simplify right side
    403,637.60x = 82,979,822,489.28
  5. Step 5: Solve for x
    x = 82,979,822,489.28/403,637.60
  6. Step 6: Final answer
    x = 205,580.01

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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.