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Finding the Fourth Proportional to 163,923.92, 245,801.28 and 75,101.30

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Solution

The fourth proportional to 163,923.92, 245,801.28 and 75,101.30 is: 112,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,923.92 : 245,801.28 = 75,101.30 : x
  2. Step 2: Convert to fraction form
    163,923.92/245,801.28 = 75,101.30/x
  3. Step 3: Cross multiply
    163,923.92x = 245,801.28 × 75,101.30
  4. Step 4: Simplify right side
    163,923.92x = 18,459,994,440.66
  5. Step 5: Solve for x
    x = 18,459,994,440.66/163,923.92
  6. Step 6: Final answer
    x = 112,613.19

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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.