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Finding the Fourth Proportional to 104,530.46, 144,109.22 and 71,823.88

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Solution

The fourth proportional to 104,530.46, 144,109.22 and 71,823.88 is: 99,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,530.46 : 144,109.22 = 71,823.88 : x
  2. Step 2: Convert to fraction form
    104,530.46/144,109.22 = 71,823.88/x
  3. Step 3: Cross multiply
    104,530.46x = 144,109.22 × 71,823.88
  4. Step 4: Simplify right side
    104,530.46x = 10,350,483,324.17
  5. Step 5: Solve for x
    x = 10,350,483,324.17/104,530.46
  6. Step 6: Final answer
    x = 99,018.82

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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.