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Finding the Fourth Proportional to 265,098.54, 365,825.01 and 144,240.29

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Solution

The fourth proportional to 265,098.54, 365,825.01 and 144,240.29 is: 199,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,098.54 : 365,825.01 = 144,240.29 : x
  2. Step 2: Convert to fraction form
    265,098.54/365,825.01 = 144,240.29/x
  3. Step 3: Cross multiply
    265,098.54x = 365,825.01 × 144,240.29
  4. Step 4: Simplify right side
    265,098.54x = 52,766,703,702.53
  5. Step 5: Solve for x
    x = 52,766,703,702.53/265,098.54
  6. Step 6: Final answer
    x = 199,045.62

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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.