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Finding the Fourth Proportional to 261,080.99, 360,264.69 and 153,644.61

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Solution

The fourth proportional to 261,080.99, 360,264.69 and 153,644.61 is: 212,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,080.99 : 360,264.69 = 153,644.61 : x
  2. Step 2: Convert to fraction form
    261,080.99/360,264.69 = 153,644.61/x
  3. Step 3: Cross multiply
    261,080.99x = 360,264.69 × 153,644.61
  4. Step 4: Simplify right side
    261,080.99x = 55,352,727,791.82
  5. Step 5: Solve for x
    x = 55,352,727,791.82/261,080.99
  6. Step 6: Final answer
    x = 212,013.63

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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.