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Finding the Fourth Proportional to 116,507.32, 160,797.36 and 71,211.40

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Solution

The fourth proportional to 116,507.32, 160,797.36 and 71,211.40 is: 98,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,507.32 : 160,797.36 = 71,211.40 : x
  2. Step 2: Convert to fraction form
    116,507.32/160,797.36 = 71,211.40/x
  3. Step 3: Cross multiply
    116,507.32x = 160,797.36 × 71,211.40
  4. Step 4: Simplify right side
    116,507.32x = 11,450,605,121.90
  5. Step 5: Solve for x
    x = 11,450,605,121.90/116,507.32
  6. Step 6: Final answer
    x = 98,282.28

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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.