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Finding the Fourth Proportional to 144,642.72, 216,969.12 and 44,793.84

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Solution

The fourth proportional to 144,642.72, 216,969.12 and 44,793.84 is: 67,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,642.72 : 216,969.12 = 44,793.84 : x
  2. Step 2: Convert to fraction form
    144,642.72/216,969.12 = 44,793.84/x
  3. Step 3: Cross multiply
    144,642.72x = 216,969.12 × 44,793.84
  4. Step 4: Simplify right side
    144,642.72x = 9,718,880,046.22
  5. Step 5: Solve for x
    x = 9,718,880,046.22/144,642.72
  6. Step 6: Final answer
    x = 67,192.32

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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.