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Finding the Fourth Proportional to 260,989.31, 360,159.25 and 152,086.71

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Solution

The fourth proportional to 260,989.31, 360,159.25 and 152,086.71 is: 209,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,989.31 : 360,159.25 = 152,086.71 : x
  2. Step 2: Convert to fraction form
    260,989.31/360,159.25 = 152,086.71/x
  3. Step 3: Cross multiply
    260,989.31x = 360,159.25 × 152,086.71
  4. Step 4: Simplify right side
    260,989.31x = 54,775,435,408.57
  5. Step 5: Solve for x
    x = 54,775,435,408.57/260,989.31
  6. Step 6: Final answer
    x = 209,876.16

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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.