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Finding the Fourth Proportional to 261,217.35, 360,454.73 and 146,500.70

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Solution

The fourth proportional to 261,217.35, 360,454.73 and 146,500.70 is: 202,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,217.35 : 360,454.73 = 146,500.70 : x
  2. Step 2: Convert to fraction form
    261,217.35/360,454.73 = 146,500.70/x
  3. Step 3: Cross multiply
    261,217.35x = 360,454.73 × 146,500.70
  4. Step 4: Simplify right side
    261,217.35x = 52,806,867,728.53
  5. Step 5: Solve for x
    x = 52,806,867,728.53/261,217.35
  6. Step 6: Final answer
    x = 202,156.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.