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Finding the Fourth Proportional to 261,553.92, 360,944.64 and 146,816.52

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Solution

The fourth proportional to 261,553.92, 360,944.64 and 146,816.52 is: 202,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,553.92 : 360,944.64 = 146,816.52 : x
  2. Step 2: Convert to fraction form
    261,553.92/360,944.64 = 146,816.52/x
  3. Step 3: Cross multiply
    261,553.92x = 360,944.64 × 146,816.52
  4. Step 4: Simplify right side
    261,553.92x = 52,992,635,957.45
  5. Step 5: Solve for x
    x = 52,992,635,957.45/261,553.92
  6. Step 6: Final answer
    x = 202,606.93

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Why These Related Problems?

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