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Finding the Fourth Proportional to 151,652.92, 209,281.76 and 83,669.89

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Solution

The fourth proportional to 151,652.92, 209,281.76 and 83,669.89 is: 115,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,652.92 : 209,281.76 = 83,669.89 : x
  2. Step 2: Convert to fraction form
    151,652.92/209,281.76 = 83,669.89/x
  3. Step 3: Cross multiply
    151,652.92x = 209,281.76 × 83,669.89
  4. Step 4: Simplify right side
    151,652.92x = 17,510,581,419.86
  5. Step 5: Solve for x
    x = 17,510,581,419.86/151,652.92
  6. Step 6: Final answer
    x = 115,464.85

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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.