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Finding the Fourth Proportional to 205,060.40, 307,259.40 and 116,049.20

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Solution

The fourth proportional to 205,060.40, 307,259.40 and 116,049.20 is: 173,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,060.40 : 307,259.40 = 116,049.20 : x
  2. Step 2: Convert to fraction form
    205,060.40/307,259.40 = 116,049.20/x
  3. Step 3: Cross multiply
    205,060.40x = 307,259.40 × 116,049.20
  4. Step 4: Simplify right side
    205,060.40x = 35,657,207,562.48
  5. Step 5: Solve for x
    x = 35,657,207,562.48/205,060.40
  6. Step 6: Final answer
    x = 173,886.37

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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.