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Finding the Fourth Proportional to 223,505.70, 334,821.15 and 134,494.80

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Solution

The fourth proportional to 223,505.70, 334,821.15 and 134,494.80 is: 201,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,505.70 : 334,821.15 = 134,494.80 : x
  2. Step 2: Convert to fraction form
    223,505.70/334,821.15 = 134,494.80/x
  3. Step 3: Cross multiply
    223,505.70x = 334,821.15 × 134,494.80
  4. Step 4: Simplify right side
    223,505.70x = 45,031,703,605.02
  5. Step 5: Solve for x
    x = 45,031,703,605.02/223,505.70
  6. Step 6: Final answer
    x = 201,478.99

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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.