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Finding the Fourth Proportional to 128,638.32, 177,534.03 and 74,192.61

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Solution

The fourth proportional to 128,638.32, 177,534.03 and 74,192.61 is: 102,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,638.32 : 177,534.03 = 74,192.61 : x
  2. Step 2: Convert to fraction form
    128,638.32/177,534.03 = 74,192.61/x
  3. Step 3: Cross multiply
    128,638.32x = 177,534.03 × 74,192.61
  4. Step 4: Simplify right side
    128,638.32x = 13,171,713,049.52
  5. Step 5: Solve for x
    x = 13,171,713,049.52/128,638.32
  6. Step 6: Final answer
    x = 102,393.39

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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.