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Finding the Fourth Proportional to 128,902.52, 193,345.98 and 76,644.56

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Solution

The fourth proportional to 128,902.52, 193,345.98 and 76,644.56 is: 114,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.52 : 193,345.98 = 76,644.56 : x
  2. Step 2: Convert to fraction form
    128,902.52/193,345.98 = 76,644.56/x
  3. Step 3: Cross multiply
    128,902.52x = 193,345.98 × 76,644.56
  4. Step 4: Simplify right side
    128,902.52x = 14,818,917,564.87
  5. Step 5: Solve for x
    x = 14,818,917,564.87/128,902.52
  6. Step 6: Final answer
    x = 114,962.20

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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.