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Finding the Fourth Proportional to 160,126.32, 240,238.08 and 85,233.72

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Solution

The fourth proportional to 160,126.32, 240,238.08 and 85,233.72 is: 127,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,126.32 : 240,238.08 = 85,233.72 : x
  2. Step 2: Convert to fraction form
    160,126.32/240,238.08 = 85,233.72/x
  3. Step 3: Cross multiply
    160,126.32x = 240,238.08 × 85,233.72
  4. Step 4: Simplify right side
    160,126.32x = 20,476,385,244.06
  5. Step 5: Solve for x
    x = 20,476,385,244.06/160,126.32
  6. Step 6: Final answer
    x = 127,876.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.