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Finding the Fourth Proportional to 217,101.86, 325,091.86 and 149,841.38

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Solution

The fourth proportional to 217,101.86, 325,091.86 and 149,841.38 is: 224,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,101.86 : 325,091.86 = 149,841.38 : x
  2. Step 2: Convert to fraction form
    217,101.86/325,091.86 = 149,841.38/x
  3. Step 3: Cross multiply
    217,101.86x = 325,091.86 × 149,841.38
  4. Step 4: Simplify right side
    217,101.86x = 48,712,212,929.17
  5. Step 5: Solve for x
    x = 48,712,212,929.17/217,101.86
  6. Step 6: Final answer
    x = 224,374.92

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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.