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Finding the Fourth Proportional to 146,151.66, 219,095.73 and 52,591.50

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Solution

The fourth proportional to 146,151.66, 219,095.73 and 52,591.50 is: 78,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,151.66 : 219,095.73 = 52,591.50 : x
  2. Step 2: Convert to fraction form
    146,151.66/219,095.73 = 52,591.50/x
  3. Step 3: Cross multiply
    146,151.66x = 219,095.73 × 52,591.50
  4. Step 4: Simplify right side
    146,151.66x = 11,522,573,084.30
  5. Step 5: Solve for x
    x = 11,522,573,084.30/146,151.66
  6. Step 6: Final answer
    x = 78,839.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.