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Finding the Fourth Proportional to 118,269.56, 163,212.14 and 75,828.11

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Solution

The fourth proportional to 118,269.56, 163,212.14 and 75,828.11 is: 104,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,269.56 : 163,212.14 = 75,828.11 : x
  2. Step 2: Convert to fraction form
    118,269.56/163,212.14 = 75,828.11/x
  3. Step 3: Cross multiply
    118,269.56x = 163,212.14 × 75,828.11
  4. Step 4: Simplify right side
    118,269.56x = 12,376,067,478.77
  5. Step 5: Solve for x
    x = 12,376,067,478.77/118,269.56
  6. Step 6: Final answer
    x = 104,642.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.