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Finding the Fourth Proportional to 202,000.34, 278,760.38 and 111,357.84

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Solution

The fourth proportional to 202,000.34, 278,760.38 and 111,357.84 is: 153,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.34 : 278,760.38 = 111,357.84 : x
  2. Step 2: Convert to fraction form
    202,000.34/278,760.38 = 111,357.84/x
  3. Step 3: Cross multiply
    202,000.34x = 278,760.38 × 111,357.84
  4. Step 4: Simplify right side
    202,000.34x = 31,042,153,794.38
  5. Step 5: Solve for x
    x = 31,042,153,794.38/202,000.34
  6. Step 6: Final answer
    x = 153,673.77

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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.