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Finding the Fourth Proportional to 178,572.52, 267,871.74 and 53,923.24

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Solution

The fourth proportional to 178,572.52, 267,871.74 and 53,923.24 is: 80,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,572.52 : 267,871.74 = 53,923.24 : x
  2. Step 2: Convert to fraction form
    178,572.52/267,871.74 = 53,923.24/x
  3. Step 3: Cross multiply
    178,572.52x = 267,871.74 × 53,923.24
  4. Step 4: Simplify right side
    178,572.52x = 14,444,512,125.24
  5. Step 5: Solve for x
    x = 14,444,512,125.24/178,572.52
  6. Step 6: Final answer
    x = 80,888.77

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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.