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Finding the Fourth Proportional to 147,472.75, 221,209.14 and 36,664.75

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Solution

The fourth proportional to 147,472.75, 221,209.14 and 36,664.75 is: 54,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,472.75 : 221,209.14 = 36,664.75 : x
  2. Step 2: Convert to fraction form
    147,472.75/221,209.14 = 36,664.75/x
  3. Step 3: Cross multiply
    147,472.75x = 221,209.14 × 36,664.75
  4. Step 4: Simplify right side
    147,472.75x = 8,110,577,815.82
  5. Step 5: Solve for x
    x = 8,110,577,815.82/147,472.75
  6. Step 6: Final answer
    x = 54,997.13

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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.