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Finding the Fourth Proportional to 144,877.56, 199,972.73 and 87,507.76

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Solution

The fourth proportional to 144,877.56, 199,972.73 and 87,507.76 is: 120,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,877.56 : 199,972.73 = 87,507.76 : x
  2. Step 2: Convert to fraction form
    144,877.56/199,972.73 = 87,507.76/x
  3. Step 3: Cross multiply
    144,877.56x = 199,972.73 × 87,507.76
  4. Step 4: Simplify right side
    144,877.56x = 17,499,165,663.38
  5. Step 5: Solve for x
    x = 17,499,165,663.38/144,877.56
  6. Step 6: Final answer
    x = 120,785.89

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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.