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Finding the Fourth Proportional to 160,538.46, 221,691.98 and 120,182.16

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Solution

The fourth proportional to 160,538.46, 221,691.98 and 120,182.16 is: 165,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,538.46 : 221,691.98 = 120,182.16 : x
  2. Step 2: Convert to fraction form
    160,538.46/221,691.98 = 120,182.16/x
  3. Step 3: Cross multiply
    160,538.46x = 221,691.98 × 120,182.16
  4. Step 4: Simplify right side
    160,538.46x = 26,643,421,011.08
  5. Step 5: Solve for x
    x = 26,643,421,011.08/160,538.46
  6. Step 6: Final answer
    x = 165,962.85

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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.