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Finding the Fourth Proportional to 152,797.97, 229,243.87 and 72,937.84

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Solution

The fourth proportional to 152,797.97, 229,243.87 and 72,937.84 is: 109,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,797.97 : 229,243.87 = 72,937.84 : x
  2. Step 2: Convert to fraction form
    152,797.97/229,243.87 = 72,937.84/x
  3. Step 3: Cross multiply
    152,797.97x = 229,243.87 × 72,937.84
  4. Step 4: Simplify right side
    152,797.97x = 16,720,552,229.10
  5. Step 5: Solve for x
    x = 16,720,552,229.10/152,797.97
  6. Step 6: Final answer
    x = 109,429.16

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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.