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Finding the Fourth Proportional to 201,952.52, 278,690.76 and 110,072.60

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Solution

The fourth proportional to 201,952.52, 278,690.76 and 110,072.60 is: 151,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,952.52 : 278,690.76 = 110,072.60 : x
  2. Step 2: Convert to fraction form
    201,952.52/278,690.76 = 110,072.60/x
  3. Step 3: Cross multiply
    201,952.52x = 278,690.76 × 110,072.60
  4. Step 4: Simplify right side
    201,952.52x = 30,676,215,155.72
  5. Step 5: Solve for x
    x = 30,676,215,155.72/201,952.52
  6. Step 6: Final answer
    x = 151,898.16

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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.