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Finding the Fourth Proportional to 100,902.70, 151,348.56 and 30,776.50

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Solution

The fourth proportional to 100,902.70, 151,348.56 and 30,776.50 is: 46,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902.70 : 151,348.56 = 30,776.50 : x
  2. Step 2: Convert to fraction form
    100,902.70/151,348.56 = 30,776.50/x
  3. Step 3: Cross multiply
    100,902.70x = 151,348.56 × 30,776.50
  4. Step 4: Simplify right side
    100,902.70x = 4,657,978,956.84
  5. Step 5: Solve for x
    x = 4,657,978,956.84/100,902.70
  6. Step 6: Final answer
    x = 46,163.08

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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.