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Finding the Fourth Proportional to 268,902.84, 371,071.80 and 148,020.51

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Solution

The fourth proportional to 268,902.84, 371,071.80 and 148,020.51 is: 204,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,902.84 : 371,071.80 = 148,020.51 : x
  2. Step 2: Convert to fraction form
    268,902.84/371,071.80 = 148,020.51/x
  3. Step 3: Cross multiply
    268,902.84x = 371,071.80 × 148,020.51
  4. Step 4: Simplify right side
    268,902.84x = 54,926,237,082.62
  5. Step 5: Solve for x
    x = 54,926,237,082.62/268,902.84
  6. Step 6: Final answer
    x = 204,260.53

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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.