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Finding the Fourth Proportional to 178,573.08, 267,762.42 and 53,897.88

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Solution

The fourth proportional to 178,573.08, 267,762.42 and 53,897.88 is: 80,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,573.08 : 267,762.42 = 53,897.88 : x
  2. Step 2: Convert to fraction form
    178,573.08/267,762.42 = 53,897.88/x
  3. Step 3: Cross multiply
    178,573.08x = 267,762.42 × 53,897.88
  4. Step 4: Simplify right side
    178,573.08x = 14,431,826,781.67
  5. Step 5: Solve for x
    x = 14,431,826,781.67/178,573.08
  6. Step 6: Final answer
    x = 80,817.48

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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.