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Finding the Fourth Proportional to 260,398.44, 359,230.68 and 152,966.52

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Solution

The fourth proportional to 260,398.44, 359,230.68 and 152,966.52 is: 211,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,398.44 : 359,230.68 = 152,966.52 : x
  2. Step 2: Convert to fraction form
    260,398.44/359,230.68 = 152,966.52/x
  3. Step 3: Cross multiply
    260,398.44x = 359,230.68 × 152,966.52
  4. Step 4: Simplify right side
    260,398.44x = 54,950,266,996.83
  5. Step 5: Solve for x
    x = 54,950,266,996.83/260,398.44
  6. Step 6: Final answer
    x = 211,023.79

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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.