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Finding the Fourth Proportional to 178,354.66, 267,502.83 and 53,666.50

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Solution

The fourth proportional to 178,354.66, 267,502.83 and 53,666.50 is: 80,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,354.66 : 267,502.83 = 53,666.50 : x
  2. Step 2: Convert to fraction form
    178,354.66/267,502.83 = 53,666.50/x
  3. Step 3: Cross multiply
    178,354.66x = 267,502.83 × 53,666.50
  4. Step 4: Simplify right side
    178,354.66x = 14,355,940,626.20
  5. Step 5: Solve for x
    x = 14,355,940,626.20/178,354.66
  6. Step 6: Final answer
    x = 80,490.98

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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.