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Finding the Fourth Proportional to 102,855.12, 141,920.88 and 60,398.16

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Solution

The fourth proportional to 102,855.12, 141,920.88 and 60,398.16 is: 83,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.12 : 141,920.88 = 60,398.16 : x
  2. Step 2: Convert to fraction form
    102,855.12/141,920.88 = 60,398.16/x
  3. Step 3: Cross multiply
    102,855.12x = 141,920.88 × 60,398.16
  4. Step 4: Simplify right side
    102,855.12x = 8,571,760,017.58
  5. Step 5: Solve for x
    x = 8,571,760,017.58/102,855.12
  6. Step 6: Final answer
    x = 83,338.19

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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.