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Finding the Fourth Proportional to 132,597.33, 198,579.41 and 76,319.14

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Solution

The fourth proportional to 132,597.33, 198,579.41 and 76,319.14 is: 114,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,597.33 : 198,579.41 = 76,319.14 : x
  2. Step 2: Convert to fraction form
    132,597.33/198,579.41 = 76,319.14/x
  3. Step 3: Cross multiply
    132,597.33x = 198,579.41 × 76,319.14
  4. Step 4: Simplify right side
    132,597.33x = 15,155,409,792.91
  5. Step 5: Solve for x
    x = 15,155,409,792.91/132,597.33
  6. Step 6: Final answer
    x = 114,296.49

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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.