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Finding the Fourth Proportional to 268,901.98, 371,077.94 and 148,042.06

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Solution

The fourth proportional to 268,901.98, 371,077.94 and 148,042.06 is: 204,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,901.98 : 371,077.94 = 148,042.06 : x
  2. Step 2: Convert to fraction form
    268,901.98/371,077.94 = 148,042.06/x
  3. Step 3: Cross multiply
    268,901.98x = 371,077.94 × 148,042.06
  4. Step 4: Simplify right side
    268,901.98x = 54,935,142,658.16
  5. Step 5: Solve for x
    x = 54,935,142,658.16/268,901.98
  6. Step 6: Final answer
    x = 204,294.30

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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.