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Finding the Fourth Proportional to 260,010.70, 390,145.65 and 147,777.10

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Solution

The fourth proportional to 260,010.70, 390,145.65 and 147,777.10 is: 221,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,010.70 : 390,145.65 = 147,777.10 : x
  2. Step 2: Convert to fraction form
    260,010.70/390,145.65 = 147,777.10/x
  3. Step 3: Cross multiply
    260,010.70x = 390,145.65 × 147,777.10
  4. Step 4: Simplify right side
    260,010.70x = 57,654,592,734.62
  5. Step 5: Solve for x
    x = 57,654,592,734.62/260,010.70
  6. Step 6: Final answer
    x = 221,739.31

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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.