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Finding the Fourth Proportional to 100,764.16, 151,142.88 and 54,108.16

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Solution

The fourth proportional to 100,764.16, 151,142.88 and 54,108.16 is: 81,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764.16 : 151,142.88 = 54,108.16 : x
  2. Step 2: Convert to fraction form
    100,764.16/151,142.88 = 54,108.16/x
  3. Step 3: Cross multiply
    100,764.16x = 151,142.88 × 54,108.16
  4. Step 4: Simplify right side
    100,764.16x = 8,178,063,133.90
  5. Step 5: Solve for x
    x = 8,178,063,133.90/100,764.16
  6. Step 6: Final answer
    x = 81,160.44

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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.