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Finding the Fourth Proportional to 116,572.96, 175,034.40 and 66,709.36

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Solution

The fourth proportional to 116,572.96, 175,034.40 and 66,709.36 is: 100,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,572.96 : 175,034.40 = 66,709.36 : x
  2. Step 2: Convert to fraction form
    116,572.96/175,034.40 = 66,709.36/x
  3. Step 3: Cross multiply
    116,572.96x = 175,034.40 × 66,709.36
  4. Step 4: Simplify right side
    116,572.96x = 11,676,432,801.98
  5. Step 5: Solve for x
    x = 11,676,432,801.98/116,572.96
  6. Step 6: Final answer
    x = 100,164.16

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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.