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Finding the Fourth Proportional to 147,473, 221,210.34 and 36,665

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Solution

The fourth proportional to 147,473, 221,210.34 and 36,665 is: 54,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,473 : 221,210.34 = 36,665 : x
  2. Step 2: Convert to fraction form
    147,473/221,210.34 = 36,665/x
  3. Step 3: Cross multiply
    147,473x = 221,210.34 × 36,665
  4. Step 4: Simplify right side
    147,473x = 8,110,677,116.10
  5. Step 5: Solve for x
    x = 8,110,677,116.10/147,473
  6. Step 6: Final answer
    x = 54,997.71

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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.