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Finding the Fourth Proportional to 165,175.20, 247,762.80 and 40,516.20

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Solution

The fourth proportional to 165,175.20, 247,762.80 and 40,516.20 is: 60,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,175.20 : 247,762.80 = 40,516.20 : x
  2. Step 2: Convert to fraction form
    165,175.20/247,762.80 = 40,516.20/x
  3. Step 3: Cross multiply
    165,175.20x = 247,762.80 × 40,516.20
  4. Step 4: Simplify right side
    165,175.20x = 10,038,407,157.36
  5. Step 5: Solve for x
    x = 10,038,407,157.36/165,175.20
  6. Step 6: Final answer
    x = 60,774.30

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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.