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Finding the Fourth Proportional to 240,684.16, 361,059.72 and 100,410.52

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Solution

The fourth proportional to 240,684.16, 361,059.72 and 100,410.52 is: 150,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,684.16 : 361,059.72 = 100,410.52 : x
  2. Step 2: Convert to fraction form
    240,684.16/361,059.72 = 100,410.52/x
  3. Step 3: Cross multiply
    240,684.16x = 361,059.72 × 100,410.52
  4. Step 4: Simplify right side
    240,684.16x = 36,254,194,236.25
  5. Step 5: Solve for x
    x = 36,254,194,236.25/240,684.16
  6. Step 6: Final answer
    x = 150,629.75

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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.