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Finding the Fourth Proportional to 113,509, 156,381.60 and 89,626.96

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Solution

The fourth proportional to 113,509, 156,381.60 and 89,626.96 is: 123,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,509 : 156,381.60 = 89,626.96 : x
  2. Step 2: Convert to fraction form
    113,509/156,381.60 = 89,626.96/x
  3. Step 3: Cross multiply
    113,509x = 156,381.60 × 89,626.96
  4. Step 4: Simplify right side
    113,509x = 14,016,007,407.94
  5. Step 5: Solve for x
    x = 14,016,007,407.94/113,509
  6. Step 6: Final answer
    x = 123,479.26

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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.