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Finding the Fourth Proportional to 147,462.16, 221,194.05 and 36,654.16

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Solution

The fourth proportional to 147,462.16, 221,194.05 and 36,654.16 is: 54,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,462.16 : 221,194.05 = 36,654.16 : x
  2. Step 2: Convert to fraction form
    147,462.16/221,194.05 = 36,654.16/x
  3. Step 3: Cross multiply
    147,462.16x = 221,194.05 × 36,654.16
  4. Step 4: Simplify right side
    147,462.16x = 8,107,681,363.49
  5. Step 5: Solve for x
    x = 8,107,681,363.49/147,462.16
  6. Step 6: Final answer
    x = 54,981.44

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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.