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Finding the Fourth Proportional to 127,893.10, 191,839.35 and 34,398.94

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Solution

The fourth proportional to 127,893.10, 191,839.35 and 34,398.94 is: 51,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,893.10 : 191,839.35 = 34,398.94 : x
  2. Step 2: Convert to fraction form
    127,893.10/191,839.35 = 34,398.94/x
  3. Step 3: Cross multiply
    127,893.10x = 191,839.35 × 34,398.94
  4. Step 4: Simplify right side
    127,893.10x = 6,599,070,290.29
  5. Step 5: Solve for x
    x = 6,599,070,290.29/127,893.10
  6. Step 6: Final answer
    x = 51,598.33

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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.