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Finding the Fourth Proportional to 127,789.84, 191,696.28 and 34,294.96

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Solution

The fourth proportional to 127,789.84, 191,696.28 and 34,294.96 is: 51,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,789.84 : 191,696.28 = 34,294.96 : x
  2. Step 2: Convert to fraction form
    127,789.84/191,696.28 = 34,294.96/x
  3. Step 3: Cross multiply
    127,789.84x = 191,696.28 × 34,294.96
  4. Step 4: Simplify right side
    127,789.84x = 6,574,216,254.75
  5. Step 5: Solve for x
    x = 6,574,216,254.75/127,789.84
  6. Step 6: Final answer
    x = 51,445.53

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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.