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Finding the Fourth Proportional to 207,792.92, 286,621.26 and 144,107.48

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Solution

The fourth proportional to 207,792.92, 286,621.26 and 144,107.48 is: 198,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,792.92 : 286,621.26 = 144,107.48 : x
  2. Step 2: Convert to fraction form
    207,792.92/286,621.26 = 144,107.48/x
  3. Step 3: Cross multiply
    207,792.92x = 286,621.26 × 144,107.48
  4. Step 4: Simplify right side
    207,792.92x = 41,304,267,493.02
  5. Step 5: Solve for x
    x = 41,304,267,493.02/207,792.92
  6. Step 6: Final answer
    x = 198,776.11

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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.