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Finding the Fourth Proportional to 223,506.20, 334,821.90 and 134,495.30

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Solution

The fourth proportional to 223,506.20, 334,821.90 and 134,495.30 is: 201,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,506.20 : 334,821.90 = 134,495.30 : x
  2. Step 2: Convert to fraction form
    223,506.20/334,821.90 = 134,495.30/x
  3. Step 3: Cross multiply
    223,506.20x = 334,821.90 × 134,495.30
  4. Step 4: Simplify right side
    223,506.20x = 45,031,971,887.07
  5. Step 5: Solve for x
    x = 45,031,971,887.07/223,506.20
  6. Step 6: Final answer
    x = 201,479.74

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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.