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Finding the Fourth Proportional to 127,414.68, 175,838.22 and 70,827

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Solution

The fourth proportional to 127,414.68, 175,838.22 and 70,827 is: 97,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,414.68 : 175,838.22 = 70,827 : x
  2. Step 2: Convert to fraction form
    127,414.68/175,838.22 = 70,827/x
  3. Step 3: Cross multiply
    127,414.68x = 175,838.22 × 70,827
  4. Step 4: Simplify right side
    127,414.68x = 12,454,093,607.94
  5. Step 5: Solve for x
    x = 12,454,093,607.94/127,414.68
  6. Step 6: Final answer
    x = 97,744.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.