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Finding the Fourth Proportional to 132,187.76, 197,330.80 and 113,264

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Solution

The fourth proportional to 132,187.76, 197,330.80 and 113,264 is: 169,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,187.76 : 197,330.80 = 113,264 : x
  2. Step 2: Convert to fraction form
    132,187.76/197,330.80 = 113,264/x
  3. Step 3: Cross multiply
    132,187.76x = 197,330.80 × 113,264
  4. Step 4: Simplify right side
    132,187.76x = 22,350,475,731.20
  5. Step 5: Solve for x
    x = 22,350,475,731.20/132,187.76
  6. Step 6: Final answer
    x = 169,081.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.