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Finding the Fourth Proportional to 329,233.68, 493,752.96 and 139,691.52

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Solution

The fourth proportional to 329,233.68, 493,752.96 and 139,691.52 is: 209,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,233.68 : 493,752.96 = 139,691.52 : x
  2. Step 2: Convert to fraction form
    329,233.68/493,752.96 = 139,691.52/x
  3. Step 3: Cross multiply
    329,233.68x = 493,752.96 × 139,691.52
  4. Step 4: Simplify right side
    329,233.68x = 68,973,101,486.90
  5. Step 5: Solve for x
    x = 68,973,101,486.90/329,233.68
  6. Step 6: Final answer
    x = 209,495.89

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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.