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Finding the Fourth Proportional to 259,195.34, 357,615.05 and 168,684.53

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Solution

The fourth proportional to 259,195.34, 357,615.05 and 168,684.53 is: 232,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,195.34 : 357,615.05 = 168,684.53 : x
  2. Step 2: Convert to fraction form
    259,195.34/357,615.05 = 168,684.53/x
  3. Step 3: Cross multiply
    259,195.34x = 357,615.05 × 168,684.53
  4. Step 4: Simplify right side
    259,195.34x = 60,324,124,947.53
  5. Step 5: Solve for x
    x = 60,324,124,947.53/259,195.34
  6. Step 6: Final answer
    x = 232,736.15

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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.