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Finding the Fourth Proportional to 127,842.34, 191,763.39 and 34,348.09

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Solution

The fourth proportional to 127,842.34, 191,763.39 and 34,348.09 is: 51,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,842.34 : 191,763.39 = 34,348.09 : x
  2. Step 2: Convert to fraction form
    127,842.34/191,763.39 = 34,348.09/x
  3. Step 3: Cross multiply
    127,842.34x = 191,763.39 × 34,348.09
  4. Step 4: Simplify right side
    127,842.34x = 6,586,706,178.43
  5. Step 5: Solve for x
    x = 6,586,706,178.43/127,842.34
  6. Step 6: Final answer
    x = 51,522.10

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