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Finding the Fourth Proportional to 268,902.38, 371,071.18 and 148,020.05

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Solution

The fourth proportional to 268,902.38, 371,071.18 and 148,020.05 is: 204,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,902.38 : 371,071.18 = 148,020.05 : x
  2. Step 2: Convert to fraction form
    268,902.38/371,071.18 = 148,020.05/x
  3. Step 3: Cross multiply
    268,902.38x = 371,071.18 × 148,020.05
  4. Step 4: Simplify right side
    268,902.38x = 54,925,975,174.79
  5. Step 5: Solve for x
    x = 54,925,975,174.79/268,902.38
  6. Step 6: Final answer
    x = 204,259.91

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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.