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Finding the Fourth Proportional to 252,061.66, 378,150.81 and 146,969.02

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Solution

The fourth proportional to 252,061.66, 378,150.81 and 146,969.02 is: 220,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,061.66 : 378,150.81 = 146,969.02 : x
  2. Step 2: Convert to fraction form
    252,061.66/378,150.81 = 146,969.02/x
  3. Step 3: Cross multiply
    252,061.66x = 378,150.81 × 146,969.02
  4. Step 4: Simplify right side
    252,061.66x = 55,576,453,957.91
  5. Step 5: Solve for x
    x = 55,576,453,957.91/252,061.66
  6. Step 6: Final answer
    x = 220,487.53

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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.