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Finding the Fourth Proportional to 223,810.44, 335,416.18 and 109,783.90

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Solution

The fourth proportional to 223,810.44, 335,416.18 and 109,783.90 is: 164,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,810.44 : 335,416.18 = 109,783.90 : x
  2. Step 2: Convert to fraction form
    223,810.44/335,416.18 = 109,783.90/x
  3. Step 3: Cross multiply
    223,810.44x = 335,416.18 × 109,783.90
  4. Step 4: Simplify right side
    223,810.44x = 36,823,296,363.50
  5. Step 5: Solve for x
    x = 36,823,296,363.50/223,810.44
  6. Step 6: Final answer
    x = 164,528.95

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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.