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Finding the Fourth Proportional to 201,937.28, 278,662.08 and 111,292.96

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Solution

The fourth proportional to 201,937.28, 278,662.08 and 111,292.96 is: 153,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,937.28 : 278,662.08 = 111,292.96 : x
  2. Step 2: Convert to fraction form
    201,937.28/278,662.08 = 111,292.96/x
  3. Step 3: Cross multiply
    201,937.28x = 278,662.08 × 111,292.96
  4. Step 4: Simplify right side
    201,937.28x = 31,013,125,929.75
  5. Step 5: Solve for x
    x = 31,013,125,929.75/201,937.28
  6. Step 6: Final answer
    x = 153,578.01

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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.