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Finding the Fourth Proportional to 100,727.80, 151,208.10 and 54,071.80

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Solution

The fourth proportional to 100,727.80, 151,208.10 and 54,071.80 is: 81,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,727.80 : 151,208.10 = 54,071.80 : x
  2. Step 2: Convert to fraction form
    100,727.80/151,208.10 = 54,071.80/x
  3. Step 3: Cross multiply
    100,727.80x = 151,208.10 × 54,071.80
  4. Step 4: Simplify right side
    100,727.80x = 8,176,094,141.58
  5. Step 5: Solve for x
    x = 8,176,094,141.58/100,727.80
  6. Step 6: Final answer
    x = 81,170.18

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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.