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Finding the Fourth Proportional to 134,100.64, 200,844.78 and 64,029.16

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Solution

The fourth proportional to 134,100.64, 200,844.78 and 64,029.16 is: 95,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,100.64 : 200,844.78 = 64,029.16 : x
  2. Step 2: Convert to fraction form
    134,100.64/200,844.78 = 64,029.16/x
  3. Step 3: Cross multiply
    134,100.64x = 200,844.78 × 64,029.16
  4. Step 4: Simplify right side
    134,100.64x = 12,859,922,553.78
  5. Step 5: Solve for x
    x = 12,859,922,553.78/134,100.64
  6. Step 6: Final answer
    x = 95,897.55

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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.