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Finding the Fourth Proportional to 201,658.28, 278,283.52 and 111,013.52

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Solution

The fourth proportional to 201,658.28, 278,283.52 and 111,013.52 is: 153,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.28 : 278,283.52 = 111,013.52 : x
  2. Step 2: Convert to fraction form
    201,658.28/278,283.52 = 111,013.52/x
  3. Step 3: Cross multiply
    201,658.28x = 278,283.52 × 111,013.52
  4. Step 4: Simplify right side
    201,658.28x = 30,893,233,113.19
  5. Step 5: Solve for x
    x = 30,893,233,113.19/201,658.28
  6. Step 6: Final answer
    x = 153,195.96

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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.