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Finding the Fourth Proportional to 147,401.66, 221,102.49 and 36,593.66

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Solution

The fourth proportional to 147,401.66, 221,102.49 and 36,593.66 is: 54,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,401.66 : 221,102.49 = 36,593.66 : x
  2. Step 2: Convert to fraction form
    147,401.66/221,102.49 = 36,593.66/x
  3. Step 3: Cross multiply
    147,401.66x = 221,102.49 × 36,593.66
  4. Step 4: Simplify right side
    147,401.66x = 8,090,949,344.21
  5. Step 5: Solve for x
    x = 8,090,949,344.21/147,401.66
  6. Step 6: Final answer
    x = 54,890.49

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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.