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Finding the Fourth Proportional to 119,614, 165,074.88 and 65,899.12

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Solution

The fourth proportional to 119,614, 165,074.88 and 65,899.12 is: 90,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,614 : 165,074.88 = 65,899.12 : x
  2. Step 2: Convert to fraction form
    119,614/165,074.88 = 65,899.12/x
  3. Step 3: Cross multiply
    119,614x = 165,074.88 × 65,899.12
  4. Step 4: Simplify right side
    119,614x = 10,878,289,326.11
  5. Step 5: Solve for x
    x = 10,878,289,326.11/119,614
  6. Step 6: Final answer
    x = 90,944.95

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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.