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Finding the Fourth Proportional to 110,276, 165,282.24 and 40,073.12

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Solution

The fourth proportional to 110,276, 165,282.24 and 40,073.12 is: 60,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,276 : 165,282.24 = 40,073.12 : x
  2. Step 2: Convert to fraction form
    110,276/165,282.24 = 40,073.12/x
  3. Step 3: Cross multiply
    110,276x = 165,282.24 × 40,073.12
  4. Step 4: Simplify right side
    110,276x = 6,623,375,037.39
  5. Step 5: Solve for x
    x = 6,623,375,037.39/110,276
  6. Step 6: Final answer
    x = 60,061.80

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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.