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Finding the Fourth Proportional to 201,800.52, 278,486.64 and 111,156.89

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Solution

The fourth proportional to 201,800.52, 278,486.64 and 111,156.89 is: 153,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,800.52 : 278,486.64 = 111,156.89 : x
  2. Step 2: Convert to fraction form
    201,800.52/278,486.64 = 111,156.89/x
  3. Step 3: Cross multiply
    201,800.52x = 278,486.64 × 111,156.89
  4. Step 4: Simplify right side
    201,800.52x = 30,955,707,416.52
  5. Step 5: Solve for x
    x = 30,955,707,416.52/201,800.52
  6. Step 6: Final answer
    x = 153,397.56

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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.