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Finding the Fourth Proportional to 157,013.10, 216,676.26 and 85,391.55

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Solution

The fourth proportional to 157,013.10, 216,676.26 and 85,391.55 is: 117,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,013.10 : 216,676.26 = 85,391.55 : x
  2. Step 2: Convert to fraction form
    157,013.10/216,676.26 = 85,391.55/x
  3. Step 3: Cross multiply
    157,013.10x = 216,676.26 × 85,391.55
  4. Step 4: Simplify right side
    157,013.10x = 18,502,321,689.60
  5. Step 5: Solve for x
    x = 18,502,321,689.60/157,013.10
  6. Step 6: Final answer
    x = 117,839.35

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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.