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Finding the Fourth Proportional to 98,205.59, 147,194.14 and 56,115.18

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Solution

The fourth proportional to 98,205.59, 147,194.14 and 56,115.18 is: 84,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205.59 : 147,194.14 = 56,115.18 : x
  2. Step 2: Convert to fraction form
    98,205.59/147,194.14 = 56,115.18/x
  3. Step 3: Cross multiply
    98,205.59x = 147,194.14 × 56,115.18
  4. Step 4: Simplify right side
    98,205.59x = 8,259,825,468.15
  5. Step 5: Solve for x
    x = 8,259,825,468.15/98,205.59
  6. Step 6: Final answer
    x = 84,107.49

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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.