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Finding the Fourth Proportional to 268,079.94, 369,950.85 and 147,229.16

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Solution

The fourth proportional to 268,079.94, 369,950.85 and 147,229.16 is: 203,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,079.94 : 369,950.85 = 147,229.16 : x
  2. Step 2: Convert to fraction form
    268,079.94/369,950.85 = 147,229.16/x
  3. Step 3: Cross multiply
    268,079.94x = 369,950.85 × 147,229.16
  4. Step 4: Simplify right side
    268,079.94x = 54,467,551,037.03
  5. Step 5: Solve for x
    x = 54,467,551,037.03/268,079.94
  6. Step 6: Final answer
    x = 203,176.53

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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.