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Finding the Fourth Proportional to 109,988.56, 151,784.31 and 59,687.56

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Solution

The fourth proportional to 109,988.56, 151,784.31 and 59,687.56 is: 82,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,988.56 : 151,784.31 = 59,687.56 : x
  2. Step 2: Convert to fraction form
    109,988.56/151,784.31 = 59,687.56/x
  3. Step 3: Cross multiply
    109,988.56x = 151,784.31 × 59,687.56
  4. Step 4: Simplify right side
    109,988.56x = 9,059,635,110.18
  5. Step 5: Solve for x
    x = 9,059,635,110.18/109,988.56
  6. Step 6: Final answer
    x = 82,368.89

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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.