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Finding the Fourth Proportional to 147,467, 221,201.32 and 36,659

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Solution

The fourth proportional to 147,467, 221,201.32 and 36,659 is: 54,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,467 : 221,201.32 = 36,659 : x
  2. Step 2: Convert to fraction form
    147,467/221,201.32 = 36,659/x
  3. Step 3: Cross multiply
    147,467x = 221,201.32 × 36,659
  4. Step 4: Simplify right side
    147,467x = 8,109,019,189.88
  5. Step 5: Solve for x
    x = 8,109,019,189.88/147,467
  6. Step 6: Final answer
    x = 54,988.70

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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.