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Finding the Fourth Proportional to 127,612.81, 191,419.22 and 34,116.13

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Solution

The fourth proportional to 127,612.81, 191,419.22 and 34,116.13 is: 51,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,612.81 : 191,419.22 = 34,116.13 : x
  2. Step 2: Convert to fraction form
    127,612.81/191,419.22 = 34,116.13/x
  3. Step 3: Cross multiply
    127,612.81x = 191,419.22 × 34,116.13
  4. Step 4: Simplify right side
    127,612.81x = 6,530,482,994.02
  5. Step 5: Solve for x
    x = 6,530,482,994.02/127,612.81
  6. Step 6: Final answer
    x = 51,174.20

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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.