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Finding the Fourth Proportional to 134,086.64, 200,823.80 and 64,015.20

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Solution

The fourth proportional to 134,086.64, 200,823.80 and 64,015.20 is: 95,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,086.64 : 200,823.80 = 64,015.20 : x
  2. Step 2: Convert to fraction form
    134,086.64/200,823.80 = 64,015.20/x
  3. Step 3: Cross multiply
    134,086.64x = 200,823.80 × 64,015.20
  4. Step 4: Simplify right side
    134,086.64x = 12,855,775,721.76
  5. Step 5: Solve for x
    x = 12,855,775,721.76/134,086.64
  6. Step 6: Final answer
    x = 95,876.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.