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Finding the Fourth Proportional to 206,032.07, 310,451.97 and 169,412.45

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Solution

The fourth proportional to 206,032.07, 310,451.97 and 169,412.45 is: 255,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,032.07 : 310,451.97 = 169,412.45 : x
  2. Step 2: Convert to fraction form
    206,032.07/310,451.97 = 169,412.45/x
  3. Step 3: Cross multiply
    206,032.07x = 310,451.97 × 169,412.45
  4. Step 4: Simplify right side
    206,032.07x = 52,594,427,292.77
  5. Step 5: Solve for x
    x = 52,594,427,292.77/206,032.07
  6. Step 6: Final answer
    x = 255,273.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.