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Finding the Fourth Proportional to 138,394.12, 190,784.82 and 98,581

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Solution

The fourth proportional to 138,394.12, 190,784.82 and 98,581 is: 135,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,394.12 : 190,784.82 = 98,581 : x
  2. Step 2: Convert to fraction form
    138,394.12/190,784.82 = 98,581/x
  3. Step 3: Cross multiply
    138,394.12x = 190,784.82 × 98,581
  4. Step 4: Simplify right side
    138,394.12x = 18,807,758,340.42
  5. Step 5: Solve for x
    x = 18,807,758,340.42/138,394.12
  6. Step 6: Final answer
    x = 135,899.98

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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.