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Finding the Fourth Proportional to 147,193.60, 203,128.14 and 83,532.46

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Solution

The fourth proportional to 147,193.60, 203,128.14 and 83,532.46 is: 115,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,193.60 : 203,128.14 = 83,532.46 : x
  2. Step 2: Convert to fraction form
    147,193.60/203,128.14 = 83,532.46/x
  3. Step 3: Cross multiply
    147,193.60x = 203,128.14 × 83,532.46
  4. Step 4: Simplify right side
    147,193.60x = 16,967,793,229.42
  5. Step 5: Solve for x
    x = 16,967,793,229.42/147,193.60
  6. Step 6: Final answer
    x = 115,275.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.