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Finding the Fourth Proportional to 305,901.87, 458,899.47 and 156,060.42

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Solution

The fourth proportional to 305,901.87, 458,899.47 and 156,060.42 is: 234,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,901.87 : 458,899.47 = 156,060.42 : x
  2. Step 2: Convert to fraction form
    305,901.87/458,899.47 = 156,060.42/x
  3. Step 3: Cross multiply
    305,901.87x = 458,899.47 × 156,060.42
  4. Step 4: Simplify right side
    305,901.87x = 71,616,044,025.98
  5. Step 5: Solve for x
    x = 71,616,044,025.98/305,901.87
  6. Step 6: Final answer
    x = 234,114.44

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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.