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Finding the Fourth Proportional to 78,205.53, 116,302.15 and 75,714.40

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Solution

The fourth proportional to 78,205.53, 116,302.15 and 75,714.40 is: 112,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.53 : 116,302.15 = 75,714.40 : x
  2. Step 2: Convert to fraction form
    78,205.53/116,302.15 = 75,714.40/x
  3. Step 3: Cross multiply
    78,205.53x = 116,302.15 × 75,714.40
  4. Step 4: Simplify right side
    78,205.53x = 8,805,747,304.73
  5. Step 5: Solve for x
    x = 8,805,747,304.73/78,205.53
  6. Step 6: Final answer
    x = 112,597.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.