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Finding the Fourth Proportional to 102,198.32, 141,033.66 and 57,486.32

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Solution

The fourth proportional to 102,198.32, 141,033.66 and 57,486.32 is: 79,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.32 : 141,033.66 = 57,486.32 : x
  2. Step 2: Convert to fraction form
    102,198.32/141,033.66 = 57,486.32/x
  3. Step 3: Cross multiply
    102,198.32x = 141,033.66 × 57,486.32
  4. Step 4: Simplify right side
    102,198.32x = 8,107,506,109.53
  5. Step 5: Solve for x
    x = 8,107,506,109.53/102,198.32
  6. Step 6: Final answer
    x = 79,331.11

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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.