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Finding the Fourth Proportional to 265,022.38, 365,729.10 and 150,323.34

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Solution

The fourth proportional to 265,022.38, 365,729.10 and 150,323.34 is: 207,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,022.38 : 365,729.10 = 150,323.34 : x
  2. Step 2: Convert to fraction form
    265,022.38/365,729.10 = 150,323.34/x
  3. Step 3: Cross multiply
    265,022.38x = 365,729.10 × 150,323.34
  4. Step 4: Simplify right side
    265,022.38x = 54,977,619,847.19
  5. Step 5: Solve for x
    x = 54,977,619,847.19/265,022.38
  6. Step 6: Final answer
    x = 207,445.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.