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Finding the Fourth Proportional to 178,294.98, 267,529.53 and 78,442.68

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Solution

The fourth proportional to 178,294.98, 267,529.53 and 78,442.68 is: 117,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,294.98 : 267,529.53 = 78,442.68 : x
  2. Step 2: Convert to fraction form
    178,294.98/267,529.53 = 78,442.68/x
  3. Step 3: Cross multiply
    178,294.98x = 267,529.53 × 78,442.68
  4. Step 4: Simplify right side
    178,294.98x = 20,985,733,312.34
  5. Step 5: Solve for x
    x = 20,985,733,312.34/178,294.98
  6. Step 6: Final answer
    x = 117,702.32

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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.