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Finding the Fourth Proportional to 202,712.20, 304,154.70 and 127,889.80

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Solution

The fourth proportional to 202,712.20, 304,154.70 and 127,889.80 is: 191,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,712.20 : 304,154.70 = 127,889.80 : x
  2. Step 2: Convert to fraction form
    202,712.20/304,154.70 = 127,889.80/x
  3. Step 3: Cross multiply
    202,712.20x = 304,154.70 × 127,889.80
  4. Step 4: Simplify right side
    202,712.20x = 38,898,283,752.06
  5. Step 5: Solve for x
    x = 38,898,283,752.06/202,712.20
  6. Step 6: Final answer
    x = 191,889.21

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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.