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Finding the Fourth Proportional to 223,977, 309,102.84 and 148,540.08

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Solution

The fourth proportional to 223,977, 309,102.84 and 148,540.08 is: 204,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,977 : 309,102.84 = 148,540.08 : x
  2. Step 2: Convert to fraction form
    223,977/309,102.84 = 148,540.08/x
  3. Step 3: Cross multiply
    223,977x = 309,102.84 × 148,540.08
  4. Step 4: Simplify right side
    223,977x = 45,914,160,581.83
  5. Step 5: Solve for x
    x = 45,914,160,581.83/223,977
  6. Step 6: Final answer
    x = 204,994.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.