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Finding the Fourth Proportional to 144,119.68, 216,211.02 and 44,287

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Solution

The fourth proportional to 144,119.68, 216,211.02 and 44,287 is: 66,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,119.68 : 216,211.02 = 44,287 : x
  2. Step 2: Convert to fraction form
    144,119.68/216,211.02 = 44,287/x
  3. Step 3: Cross multiply
    144,119.68x = 216,211.02 × 44,287
  4. Step 4: Simplify right side
    144,119.68x = 9,575,337,442.74
  5. Step 5: Solve for x
    x = 9,575,337,442.74/144,119.68
  6. Step 6: Final answer
    x = 66,440.18

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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.