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Finding the Fourth Proportional to 78,555.46, 108,471.86 and 72,857

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Solution

The fourth proportional to 78,555.46, 108,471.86 and 72,857 is: 100,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,555.46 : 108,471.86 = 72,857 : x
  2. Step 2: Convert to fraction form
    78,555.46/108,471.86 = 72,857/x
  3. Step 3: Cross multiply
    78,555.46x = 108,471.86 × 72,857
  4. Step 4: Simplify right side
    78,555.46x = 7,902,934,304.02
  5. Step 5: Solve for x
    x = 7,902,934,304.02/78,555.46
  6. Step 6: Final answer
    x = 100,603.25

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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.