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Finding the Fourth Proportional to 206,899.16, 310,484.82 and 113,470.52

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Solution

The fourth proportional to 206,899.16, 310,484.82 and 113,470.52 is: 170,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,899.16 : 310,484.82 = 113,470.52 : x
  2. Step 2: Convert to fraction form
    206,899.16/310,484.82 = 113,470.52/x
  3. Step 3: Cross multiply
    206,899.16x = 310,484.82 × 113,470.52
  4. Step 4: Simplify right side
    206,899.16x = 35,230,873,977.51
  5. Step 5: Solve for x
    x = 35,230,873,977.51/206,899.16
  6. Step 6: Final answer
    x = 170,280.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.