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Finding the Fourth Proportional to 402,767.90, 604,132.65 and 136,502.30

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Solution

The fourth proportional to 402,767.90, 604,132.65 and 136,502.30 is: 204,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,767.90 : 604,132.65 = 136,502.30 : x
  2. Step 2: Convert to fraction form
    402,767.90/604,132.65 = 136,502.30/x
  3. Step 3: Cross multiply
    402,767.90x = 604,132.65 × 136,502.30
  4. Step 4: Simplify right side
    402,767.90x = 82,465,496,230.10
  5. Step 5: Solve for x
    x = 82,465,496,230.10/402,767.90
  6. Step 6: Final answer
    x = 204,746.94

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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.