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Finding the Fourth Proportional to 115,123.24, 158,869.38 and 64,838.44

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Solution

The fourth proportional to 115,123.24, 158,869.38 and 64,838.44 is: 89,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,123.24 : 158,869.38 = 64,838.44 : x
  2. Step 2: Convert to fraction form
    115,123.24/158,869.38 = 64,838.44/x
  3. Step 3: Cross multiply
    115,123.24x = 158,869.38 × 64,838.44
  4. Step 4: Simplify right side
    115,123.24x = 10,300,842,762.97
  5. Step 5: Solve for x
    x = 10,300,842,762.97/115,123.24
  6. Step 6: Final answer
    x = 89,476.66

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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.