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Finding the Fourth Proportional to 259,762.86, 358,474.98 and 149,398.14

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Solution

The fourth proportional to 259,762.86, 358,474.98 and 149,398.14 is: 206,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,762.86 : 358,474.98 = 149,398.14 : x
  2. Step 2: Convert to fraction form
    259,762.86/358,474.98 = 149,398.14/x
  3. Step 3: Cross multiply
    259,762.86x = 358,474.98 × 149,398.14
  4. Step 4: Simplify right side
    259,762.86x = 53,555,495,248.54
  5. Step 5: Solve for x
    x = 53,555,495,248.54/259,762.86
  6. Step 6: Final answer
    x = 206,170.72

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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.