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Finding the Fourth Proportional to 100,902.30, 151,341.30 and 41,731.80

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Solution

The fourth proportional to 100,902.30, 151,341.30 and 41,731.80 is: 62,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902.30 : 151,341.30 = 41,731.80 : x
  2. Step 2: Convert to fraction form
    100,902.30/151,341.30 = 41,731.80/x
  3. Step 3: Cross multiply
    100,902.30x = 151,341.30 × 41,731.80
  4. Step 4: Simplify right side
    100,902.30x = 6,315,744,863.34
  5. Step 5: Solve for x
    x = 6,315,744,863.34/100,902.30
  6. Step 6: Final answer
    x = 62,592.67

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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.