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Finding the Fourth Proportional to 260,042.20, 390,192.90 and 147,808.60

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Solution

The fourth proportional to 260,042.20, 390,192.90 and 147,808.60 is: 221,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.20 : 390,192.90 = 147,808.60 : x
  2. Step 2: Convert to fraction form
    260,042.20/390,192.90 = 147,808.60/x
  3. Step 3: Cross multiply
    260,042.20x = 390,192.90 × 147,808.60
  4. Step 4: Simplify right side
    260,042.20x = 57,673,866,278.94
  5. Step 5: Solve for x
    x = 57,673,866,278.94/260,042.20
  6. Step 6: Final answer
    x = 221,786.56

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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.