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Finding the Fourth Proportional to 265,097.38, 365,823.43 and 144,239.16

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Solution

The fourth proportional to 265,097.38, 365,823.43 and 144,239.16 is: 199,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,097.38 : 365,823.43 = 144,239.16 : x
  2. Step 2: Convert to fraction form
    265,097.38/365,823.43 = 144,239.16/x
  3. Step 3: Cross multiply
    265,097.38x = 365,823.43 × 144,239.16
  4. Step 4: Simplify right side
    265,097.38x = 52,766,064,251.52
  5. Step 5: Solve for x
    x = 52,766,064,251.52/265,097.38
  6. Step 6: Final answer
    x = 199,044.08

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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.