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Finding the Fourth Proportional to 209,100.96, 288,565.20 and 123,066

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Solution

The fourth proportional to 209,100.96, 288,565.20 and 123,066 is: 169,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,100.96 : 288,565.20 = 123,066 : x
  2. Step 2: Convert to fraction form
    209,100.96/288,565.20 = 123,066/x
  3. Step 3: Cross multiply
    209,100.96x = 288,565.20 × 123,066
  4. Step 4: Simplify right side
    209,100.96x = 35,512,564,903.20
  5. Step 5: Solve for x
    x = 35,512,564,903.20/209,100.96
  6. Step 6: Final answer
    x = 169,834.54

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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.