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Finding the Fourth Proportional to 261,506.98, 392,470.66 and 135,184.38

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Solution

The fourth proportional to 261,506.98, 392,470.66 and 135,184.38 is: 202,885.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,506.98 : 392,470.66 = 135,184.38 : x
  2. Step 2: Convert to fraction form
    261,506.98/392,470.66 = 135,184.38/x
  3. Step 3: Cross multiply
    261,506.98x = 392,470.66 × 135,184.38
  4. Step 4: Simplify right side
    261,506.98x = 53,055,902,840.29
  5. Step 5: Solve for x
    x = 53,055,902,840.29/261,506.98
  6. Step 6: Final answer
    x = 202,885.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.