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Finding the Fourth Proportional to 178,306.76, 267,416.40 and 73,155.80

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Solution

The fourth proportional to 178,306.76, 267,416.40 and 73,155.80 is: 109,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,306.76 : 267,416.40 = 73,155.80 : x
  2. Step 2: Convert to fraction form
    178,306.76/267,416.40 = 73,155.80/x
  3. Step 3: Cross multiply
    178,306.76x = 267,416.40 × 73,155.80
  4. Step 4: Simplify right side
    178,306.76x = 19,563,060,675.12
  5. Step 5: Solve for x
    x = 19,563,060,675.12/178,306.76
  6. Step 6: Final answer
    x = 109,715.75

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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.