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Finding the Fourth Proportional to 151,691.76, 209,333.16 and 83,709.36

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Solution

The fourth proportional to 151,691.76, 209,333.16 and 83,709.36 is: 115,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,691.76 : 209,333.16 = 83,709.36 : x
  2. Step 2: Convert to fraction form
    151,691.76/209,333.16 = 83,709.36/x
  3. Step 3: Cross multiply
    151,691.76x = 209,333.16 × 83,709.36
  4. Step 4: Simplify right side
    151,691.76x = 17,523,144,850.38
  5. Step 5: Solve for x
    x = 17,523,144,850.38/151,691.76
  6. Step 6: Final answer
    x = 115,518.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.