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Finding the Fourth Proportional to 201,565.76, 278,153.76 and 110,913.24

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Solution

The fourth proportional to 201,565.76, 278,153.76 and 110,913.24 is: 153,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,565.76 : 278,153.76 = 110,913.24 : x
  2. Step 2: Convert to fraction form
    201,565.76/278,153.76 = 110,913.24/x
  3. Step 3: Cross multiply
    201,565.76x = 278,153.76 × 110,913.24
  4. Step 4: Simplify right side
    201,565.76x = 30,850,934,739.78
  5. Step 5: Solve for x
    x = 30,850,934,739.78/201,565.76
  6. Step 6: Final answer
    x = 153,056.43

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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.