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Finding the Fourth Proportional to 130,830.80, 196,246.20 and 115,278.80

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Solution

The fourth proportional to 130,830.80, 196,246.20 and 115,278.80 is: 172,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,830.80 : 196,246.20 = 115,278.80 : x
  2. Step 2: Convert to fraction form
    130,830.80/196,246.20 = 115,278.80/x
  3. Step 3: Cross multiply
    130,830.80x = 196,246.20 × 115,278.80
  4. Step 4: Simplify right side
    130,830.80x = 22,623,026,440.56
  5. Step 5: Solve for x
    x = 22,623,026,440.56/130,830.80
  6. Step 6: Final answer
    x = 172,918.20

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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.