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Finding the Fourth Proportional to 169,342.84, 254,023.98 and 51,001.84

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Solution

The fourth proportional to 169,342.84, 254,023.98 and 51,001.84 is: 76,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,342.84 : 254,023.98 = 51,001.84 : x
  2. Step 2: Convert to fraction form
    169,342.84/254,023.98 = 51,001.84/x
  3. Step 3: Cross multiply
    169,342.84x = 254,023.98 × 51,001.84
  4. Step 4: Simplify right side
    169,342.84x = 12,955,690,384.12
  5. Step 5: Solve for x
    x = 12,955,690,384.12/169,342.84
  6. Step 6: Final answer
    x = 76,505.69

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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.