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Finding the Fourth Proportional to 147,464.52, 221,197.56 and 36,656.52

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Solution

The fourth proportional to 147,464.52, 221,197.56 and 36,656.52 is: 54,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,464.52 : 221,197.56 = 36,656.52 : x
  2. Step 2: Convert to fraction form
    147,464.52/221,197.56 = 36,656.52/x
  3. Step 3: Cross multiply
    147,464.52x = 221,197.56 × 36,656.52
  4. Step 4: Simplify right side
    147,464.52x = 8,108,332,782.09
  5. Step 5: Solve for x
    x = 8,108,332,782.09/147,464.52
  6. Step 6: Final answer
    x = 54,984.97

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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.