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Finding the Fourth Proportional to 144,098.68, 216,179.52 and 44,266

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Solution

The fourth proportional to 144,098.68, 216,179.52 and 44,266 is: 66,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,098.68 : 216,179.52 = 44,266 : x
  2. Step 2: Convert to fraction form
    144,098.68/216,179.52 = 44,266/x
  3. Step 3: Cross multiply
    144,098.68x = 216,179.52 × 44,266
  4. Step 4: Simplify right side
    144,098.68x = 9,569,402,632.32
  5. Step 5: Solve for x
    x = 9,569,402,632.32/144,098.68
  6. Step 6: Final answer
    x = 66,408.68

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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.