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Finding the Fourth Proportional to 365,643.60, 548,206.20 and 140,917.20

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Solution

The fourth proportional to 365,643.60, 548,206.20 and 140,917.20 is: 211,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,643.60 : 548,206.20 = 140,917.20 : x
  2. Step 2: Convert to fraction form
    365,643.60/548,206.20 = 140,917.20/x
  3. Step 3: Cross multiply
    365,643.60x = 548,206.20 × 140,917.20
  4. Step 4: Simplify right side
    365,643.60x = 77,251,682,726.64
  5. Step 5: Solve for x
    x = 77,251,682,726.64/365,643.60
  6. Step 6: Final answer
    x = 211,275.91

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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.