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Finding the Fourth Proportional to 85,368.86, 127,948.39 and 60,416

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Solution

The fourth proportional to 85,368.86, 127,948.39 and 60,416 is: 90,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,368.86 : 127,948.39 = 60,416 : x
  2. Step 2: Convert to fraction form
    85,368.86/127,948.39 = 60,416/x
  3. Step 3: Cross multiply
    85,368.86x = 127,948.39 × 60,416
  4. Step 4: Simplify right side
    85,368.86x = 7,730,129,930.24
  5. Step 5: Solve for x
    x = 7,730,129,930.24/85,368.86
  6. Step 6: Final answer
    x = 90,549.76

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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.