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Finding the Fourth Proportional to 96,016.40, 144,024.60 and 85,907.60

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Solution

The fourth proportional to 96,016.40, 144,024.60 and 85,907.60 is: 128,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,016.40 : 144,024.60 = 85,907.60 : x
  2. Step 2: Convert to fraction form
    96,016.40/144,024.60 = 85,907.60/x
  3. Step 3: Cross multiply
    96,016.40x = 144,024.60 × 85,907.60
  4. Step 4: Simplify right side
    96,016.40x = 12,372,807,726.96
  5. Step 5: Solve for x
    x = 12,372,807,726.96/96,016.40
  6. Step 6: Final answer
    x = 128,861.40

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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.