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Finding the Fourth Proportional to 157,567.34, 217,443.60 and 85,948.90

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Solution

The fourth proportional to 157,567.34, 217,443.60 and 85,948.90 is: 118,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,567.34 : 217,443.60 = 85,948.90 : x
  2. Step 2: Convert to fraction form
    157,567.34/217,443.60 = 85,948.90/x
  3. Step 3: Cross multiply
    157,567.34x = 217,443.60 × 85,948.90
  4. Step 4: Simplify right side
    157,567.34x = 18,689,038,232.04
  5. Step 5: Solve for x
    x = 18,689,038,232.04/157,567.34
  6. Step 6: Final answer
    x = 118,609.85

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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.