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Finding the Fourth Proportional to 127,842.90, 191,764.35 and 96,738.90

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Solution

The fourth proportional to 127,842.90, 191,764.35 and 96,738.90 is: 145,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,842.90 : 191,764.35 = 96,738.90 : x
  2. Step 2: Convert to fraction form
    127,842.90/191,764.35 = 96,738.90/x
  3. Step 3: Cross multiply
    127,842.90x = 191,764.35 × 96,738.90
  4. Step 4: Simplify right side
    127,842.90x = 18,551,072,278.22
  5. Step 5: Solve for x
    x = 18,551,072,278.22/127,842.90
  6. Step 6: Final answer
    x = 145,108.35

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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.