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Finding the Fourth Proportional to 117,624.20, 176,511.90 and 65,071.40

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Solution

The fourth proportional to 117,624.20, 176,511.90 and 65,071.40 is: 97,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,624.20 : 176,511.90 = 65,071.40 : x
  2. Step 2: Convert to fraction form
    117,624.20/176,511.90 = 65,071.40/x
  3. Step 3: Cross multiply
    117,624.20x = 176,511.90 × 65,071.40
  4. Step 4: Simplify right side
    117,624.20x = 11,485,876,449.66
  5. Step 5: Solve for x
    x = 11,485,876,449.66/117,624.20
  6. Step 6: Final answer
    x = 97,648.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.