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Finding the Fourth Proportional to 118,306.64, 163,281.92 and 75,241.24

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Solution

The fourth proportional to 118,306.64, 163,281.92 and 75,241.24 is: 103,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,306.64 : 163,281.92 = 75,241.24 : x
  2. Step 2: Convert to fraction form
    118,306.64/163,281.92 = 75,241.24/x
  3. Step 3: Cross multiply
    118,306.64x = 163,281.92 × 75,241.24
  4. Step 4: Simplify right side
    118,306.64x = 12,285,534,130.38
  5. Step 5: Solve for x
    x = 12,285,534,130.38/118,306.64
  6. Step 6: Final answer
    x = 103,844.84

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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.