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Finding the Fourth Proportional to 403,842.30, 605,763.45 and 137,903.10

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Solution

The fourth proportional to 403,842.30, 605,763.45 and 137,903.10 is: 206,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,842.30 : 605,763.45 = 137,903.10 : x
  2. Step 2: Convert to fraction form
    403,842.30/605,763.45 = 137,903.10/x
  3. Step 3: Cross multiply
    403,842.30x = 605,763.45 × 137,903.10
  4. Step 4: Simplify right side
    403,842.30x = 83,536,657,621.70
  5. Step 5: Solve for x
    x = 83,536,657,621.70/403,842.30
  6. Step 6: Final answer
    x = 206,854.65

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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.