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Finding the Fourth Proportional to 178,473.48, 267,624.80 and 103,614.32

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Solution

The fourth proportional to 178,473.48, 267,624.80 and 103,614.32 is: 155,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,473.48 : 267,624.80 = 103,614.32 : x
  2. Step 2: Convert to fraction form
    178,473.48/267,624.80 = 103,614.32/x
  3. Step 3: Cross multiply
    178,473.48x = 267,624.80 × 103,614.32
  4. Step 4: Simplify right side
    178,473.48x = 27,729,761,667.14
  5. Step 5: Solve for x
    x = 27,729,761,667.14/178,473.48
  6. Step 6: Final answer
    x = 155,371.89

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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.