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Finding the Fourth Proportional to 116,301.32, 160,493.88 and 65,314.52

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Solution

The fourth proportional to 116,301.32, 160,493.88 and 65,314.52 is: 90,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,301.32 : 160,493.88 = 65,314.52 : x
  2. Step 2: Convert to fraction form
    116,301.32/160,493.88 = 65,314.52/x
  3. Step 3: Cross multiply
    116,301.32x = 160,493.88 × 65,314.52
  4. Step 4: Simplify right side
    116,301.32x = 10,482,580,735.14
  5. Step 5: Solve for x
    x = 10,482,580,735.14/116,301.32
  6. Step 6: Final answer
    x = 90,132.95

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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.