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Finding the Fourth Proportional to 178,231.32, 267,346.98 and 71,663.94

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Solution

The fourth proportional to 178,231.32, 267,346.98 and 71,663.94 is: 107,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,231.32 : 267,346.98 = 71,663.94 : x
  2. Step 2: Convert to fraction form
    178,231.32/267,346.98 = 71,663.94/x
  3. Step 3: Cross multiply
    178,231.32x = 267,346.98 × 71,663.94
  4. Step 4: Simplify right side
    178,231.32x = 19,159,137,933.90
  5. Step 5: Solve for x
    x = 19,159,137,933.90/178,231.32
  6. Step 6: Final answer
    x = 107,495.91

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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.