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Finding the Fourth Proportional to 268,753.22, 370,870.14 and 147,883.20

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Solution

The fourth proportional to 268,753.22, 370,870.14 and 147,883.20 is: 204,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,753.22 : 370,870.14 = 147,883.20 : x
  2. Step 2: Convert to fraction form
    268,753.22/370,870.14 = 147,883.20/x
  3. Step 3: Cross multiply
    268,753.22x = 370,870.14 × 147,883.20
  4. Step 4: Simplify right side
    268,753.22x = 54,845,463,087.65
  5. Step 5: Solve for x
    x = 54,845,463,087.65/268,753.22
  6. Step 6: Final answer
    x = 204,073.70

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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.