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Finding the Fourth Proportional to 201,959.48, 278,702.84 and 110,078.66

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Solution

The fourth proportional to 201,959.48, 278,702.84 and 110,078.66 is: 151,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,959.48 : 278,702.84 = 110,078.66 : x
  2. Step 2: Convert to fraction form
    201,959.48/278,702.84 = 110,078.66/x
  3. Step 3: Cross multiply
    201,959.48x = 278,702.84 × 110,078.66
  4. Step 4: Simplify right side
    201,959.48x = 30,679,234,615.00
  5. Step 5: Solve for x
    x = 30,679,234,615.00/201,959.48
  6. Step 6: Final answer
    x = 151,907.87

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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.