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Finding the Fourth Proportional to 127,195.66, 190,729.50 and 52,294.96

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Solution

The fourth proportional to 127,195.66, 190,729.50 and 52,294.96 is: 78,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,195.66 : 190,729.50 = 52,294.96 : x
  2. Step 2: Convert to fraction form
    127,195.66/190,729.50 = 52,294.96/x
  3. Step 3: Cross multiply
    127,195.66x = 190,729.50 × 52,294.96
  4. Step 4: Simplify right side
    127,195.66x = 9,974,191,573.32
  5. Step 5: Solve for x
    x = 9,974,191,573.32/127,195.66
  6. Step 6: Final answer
    x = 78,416.13

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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.