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Finding the Fourth Proportional to 123,370.41, 185,043.17 and 83,644.47

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Solution

The fourth proportional to 123,370.41, 185,043.17 and 83,644.47 is: 125,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,370.41 : 185,043.17 = 83,644.47 : x
  2. Step 2: Convert to fraction form
    123,370.41/185,043.17 = 83,644.47/x
  3. Step 3: Cross multiply
    123,370.41x = 185,043.17 × 83,644.47
  4. Step 4: Simplify right side
    123,370.41x = 15,477,837,463.55
  5. Step 5: Solve for x
    x = 15,477,837,463.55/123,370.41
  6. Step 6: Final answer
    x = 125,458.26

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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.