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Finding the Fourth Proportional to 178,448.72, 267,712.68 and 53,780.72

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Solution

The fourth proportional to 178,448.72, 267,712.68 and 53,780.72 is: 80,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,448.72 : 267,712.68 = 53,780.72 : x
  2. Step 2: Convert to fraction form
    178,448.72/267,712.68 = 53,780.72/x
  3. Step 3: Cross multiply
    178,448.72x = 267,712.68 × 53,780.72
  4. Step 4: Simplify right side
    178,448.72x = 14,397,780,683.53
  5. Step 5: Solve for x
    x = 14,397,780,683.53/178,448.72
  6. Step 6: Final answer
    x = 80,683.01

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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.