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Finding the Fourth Proportional to 100,145.10, 150,302.70 and 41,023.20

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Solution

The fourth proportional to 100,145.10, 150,302.70 and 41,023.20 is: 61,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.10 : 150,302.70 = 41,023.20 : x
  2. Step 2: Convert to fraction form
    100,145.10/150,302.70 = 41,023.20/x
  3. Step 3: Cross multiply
    100,145.10x = 150,302.70 × 41,023.20
  4. Step 4: Simplify right side
    100,145.10x = 6,165,897,722.64
  5. Step 5: Solve for x
    x = 6,165,897,722.64/100,145.10
  6. Step 6: Final answer
    x = 61,569.64

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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.