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Finding the Fourth Proportional to 100,148.49, 138,249.59 and 66,178.17

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Solution

The fourth proportional to 100,148.49, 138,249.59 and 66,178.17 is: 91,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,148.49 : 138,249.59 = 66,178.17 : x
  2. Step 2: Convert to fraction form
    100,148.49/138,249.59 = 66,178.17/x
  3. Step 3: Cross multiply
    100,148.49x = 138,249.59 × 66,178.17
  4. Step 4: Simplify right side
    100,148.49x = 9,149,104,869.45
  5. Step 5: Solve for x
    x = 9,149,104,869.45/100,148.49
  6. Step 6: Final answer
    x = 91,355.40

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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.