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Finding the Fourth Proportional to 119,175.65, 164,463.57 and 64,728.87

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Solution

The fourth proportional to 119,175.65, 164,463.57 and 64,728.87 is: 89,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,175.65 : 164,463.57 = 64,728.87 : x
  2. Step 2: Convert to fraction form
    119,175.65/164,463.57 = 64,728.87/x
  3. Step 3: Cross multiply
    119,175.65x = 164,463.57 × 64,728.87
  4. Step 4: Simplify right side
    119,175.65x = 10,645,541,042.27
  5. Step 5: Solve for x
    x = 10,645,541,042.27/119,175.65
  6. Step 6: Final answer
    x = 89,326.48

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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.