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Finding the Fourth Proportional to 144,087, 198,863.10 and 84,471

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Solution

The fourth proportional to 144,087, 198,863.10 and 84,471 is: 116,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,087 : 198,863.10 = 84,471 : x
  2. Step 2: Convert to fraction form
    144,087/198,863.10 = 84,471/x
  3. Step 3: Cross multiply
    144,087x = 198,863.10 × 84,471
  4. Step 4: Simplify right side
    144,087x = 16,798,164,920.10
  5. Step 5: Solve for x
    x = 16,798,164,920.10/144,087
  6. Step 6: Final answer
    x = 116,583.49

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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.