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Finding the Fourth Proportional to 202,011.96, 278,777.36 and 111,365.88

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Solution

The fourth proportional to 202,011.96, 278,777.36 and 111,365.88 is: 153,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,011.96 : 278,777.36 = 111,365.88 : x
  2. Step 2: Convert to fraction form
    202,011.96/278,777.36 = 111,365.88/x
  3. Step 3: Cross multiply
    202,011.96x = 278,777.36 × 111,365.88
  4. Step 4: Simplify right side
    202,011.96x = 31,046,286,020.48
  5. Step 5: Solve for x
    x = 31,046,286,020.48/202,011.96
  6. Step 6: Final answer
    x = 153,685.39

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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.