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Finding the Fourth Proportional to 240,442.93, 360,697.20 and 100,168.75

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Solution

The fourth proportional to 240,442.93, 360,697.20 and 100,168.75 is: 150,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,442.93 : 360,697.20 = 100,168.75 : x
  2. Step 2: Convert to fraction form
    240,442.93/360,697.20 = 100,168.75/x
  3. Step 3: Cross multiply
    240,442.93x = 360,697.20 × 100,168.75
  4. Step 4: Simplify right side
    240,442.93x = 36,130,587,652.50
  5. Step 5: Solve for x
    x = 36,130,587,652.50/240,442.93
  6. Step 6: Final answer
    x = 150,266.79

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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.