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Finding the Fourth Proportional to 260,575.26, 359,590.43 and 147,398.01

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Solution

The fourth proportional to 260,575.26, 359,590.43 and 147,398.01 is: 203,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,575.26 : 359,590.43 = 147,398.01 : x
  2. Step 2: Convert to fraction form
    260,575.26/359,590.43 = 147,398.01/x
  3. Step 3: Cross multiply
    260,575.26x = 359,590.43 × 147,398.01
  4. Step 4: Simplify right side
    260,575.26x = 53,002,913,797.04
  5. Step 5: Solve for x
    x = 53,002,913,797.04/260,575.26
  6. Step 6: Final answer
    x = 203,407.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.