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Finding the Fourth Proportional to 206,881.16, 310,457.82 and 113,452.52

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Solution

The fourth proportional to 206,881.16, 310,457.82 and 113,452.52 is: 170,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,881.16 : 310,457.82 = 113,452.52 : x
  2. Step 2: Convert to fraction form
    206,881.16/310,457.82 = 113,452.52/x
  3. Step 3: Cross multiply
    206,881.16x = 310,457.82 × 113,452.52
  4. Step 4: Simplify right side
    206,881.16x = 35,222,222,032.71
  5. Step 5: Solve for x
    x = 35,222,222,032.71/206,881.16
  6. Step 6: Final answer
    x = 170,253.41

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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.