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Finding the Fourth Proportional to 151,607.66, 227,463.92 and 51,838.09

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Solution

The fourth proportional to 151,607.66, 227,463.92 and 51,838.09 is: 77,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,607.66 : 227,463.92 = 51,838.09 : x
  2. Step 2: Convert to fraction form
    151,607.66/227,463.92 = 51,838.09/x
  3. Step 3: Cross multiply
    151,607.66x = 227,463.92 × 51,838.09
  4. Step 4: Simplify right side
    151,607.66x = 11,791,294,717.65
  5. Step 5: Solve for x
    x = 11,791,294,717.65/151,607.66
  6. Step 6: Final answer
    x = 77,775.06

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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.