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Finding the Fourth Proportional to 202,003.05, 278,766.15 and 111,362.55

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Solution

The fourth proportional to 202,003.05, 278,766.15 and 111,362.55 is: 153,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.05 : 278,766.15 = 111,362.55 : x
  2. Step 2: Convert to fraction form
    202,003.05/278,766.15 = 111,362.55/x
  3. Step 3: Cross multiply
    202,003.05x = 278,766.15 × 111,362.55
  4. Step 4: Simplify right side
    202,003.05x = 31,044,109,317.68
  5. Step 5: Solve for x
    x = 31,044,109,317.68/202,003.05
  6. Step 6: Final answer
    x = 153,681.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.