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Finding the Fourth Proportional to 240,775.40, 361,206.30 and 100,548.20

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Solution

The fourth proportional to 240,775.40, 361,206.30 and 100,548.20 is: 150,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,775.40 : 361,206.30 = 100,548.20 : x
  2. Step 2: Convert to fraction form
    240,775.40/361,206.30 = 100,548.20/x
  3. Step 3: Cross multiply
    240,775.40x = 361,206.30 × 100,548.20
  4. Step 4: Simplify right side
    240,775.40x = 36,318,643,293.66
  5. Step 5: Solve for x
    x = 36,318,643,293.66/240,775.40
  6. Step 6: Final answer
    x = 150,840.34

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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.