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Finding the Fourth Proportional to 169,411.86, 254,119.76 and 51,084.22

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Solution

The fourth proportional to 169,411.86, 254,119.76 and 51,084.22 is: 76,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,411.86 : 254,119.76 = 51,084.22 : x
  2. Step 2: Convert to fraction form
    169,411.86/254,119.76 = 51,084.22/x
  3. Step 3: Cross multiply
    169,411.86x = 254,119.76 × 51,084.22
  4. Step 4: Simplify right side
    169,411.86x = 12,981,509,726.19
  5. Step 5: Solve for x
    x = 12,981,509,726.19/169,411.86
  6. Step 6: Final answer
    x = 76,626.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.