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Finding the Fourth Proportional to 180,434.28, 270,677.34 and 55,785

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Solution

The fourth proportional to 180,434.28, 270,677.34 and 55,785 is: 83,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,434.28 : 270,677.34 = 55,785 : x
  2. Step 2: Convert to fraction form
    180,434.28/270,677.34 = 55,785/x
  3. Step 3: Cross multiply
    180,434.28x = 270,677.34 × 55,785
  4. Step 4: Simplify right side
    180,434.28x = 15,099,735,411.90
  5. Step 5: Solve for x
    x = 15,099,735,411.90/180,434.28
  6. Step 6: Final answer
    x = 83,685.51

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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.