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Finding the Fourth Proportional to 157,121.61, 216,832.35 and 85,506.17

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Solution

The fourth proportional to 157,121.61, 216,832.35 and 85,506.17 is: 118,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,121.61 : 216,832.35 = 85,506.17 : x
  2. Step 2: Convert to fraction form
    157,121.61/216,832.35 = 85,506.17/x
  3. Step 3: Cross multiply
    157,121.61x = 216,832.35 × 85,506.17
  4. Step 4: Simplify right side
    157,121.61x = 18,540,503,353.07
  5. Step 5: Solve for x
    x = 18,540,503,353.07/157,121.61
  6. Step 6: Final answer
    x = 118,000.98

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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.