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Finding the Fourth Proportional to 305,841.60, 458,543.70 and 137,223.90

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Solution

The fourth proportional to 305,841.60, 458,543.70 and 137,223.90 is: 205,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,841.60 : 458,543.70 = 137,223.90 : x
  2. Step 2: Convert to fraction form
    305,841.60/458,543.70 = 137,223.90/x
  3. Step 3: Cross multiply
    305,841.60x = 458,543.70 × 137,223.90
  4. Step 4: Simplify right side
    305,841.60x = 62,923,154,834.43
  5. Step 5: Solve for x
    x = 62,923,154,834.43/305,841.60
  6. Step 6: Final answer
    x = 205,737.72

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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.