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Finding the Fourth Proportional to 169,834.74, 254,757.78 and 76,340.76

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Solution

The fourth proportional to 169,834.74, 254,757.78 and 76,340.76 is: 114,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,834.74 : 254,757.78 = 76,340.76 : x
  2. Step 2: Convert to fraction form
    169,834.74/254,757.78 = 76,340.76/x
  3. Step 3: Cross multiply
    169,834.74x = 254,757.78 × 76,340.76
  4. Step 4: Simplify right side
    169,834.74x = 19,448,402,541.11
  5. Step 5: Solve for x
    x = 19,448,402,541.11/169,834.74
  6. Step 6: Final answer
    x = 114,513.69

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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.