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Finding the Fourth Proportional to 223,043.78, 334,566.16 and 156,780.43

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Solution

The fourth proportional to 223,043.78, 334,566.16 and 156,780.43 is: 235,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,043.78 : 334,566.16 = 156,780.43 : x
  2. Step 2: Convert to fraction form
    223,043.78/334,566.16 = 156,780.43/x
  3. Step 3: Cross multiply
    223,043.78x = 334,566.16 × 156,780.43
  4. Step 4: Simplify right side
    223,043.78x = 52,453,425,199.88
  5. Step 5: Solve for x
    x = 52,453,425,199.88/223,043.78
  6. Step 6: Final answer
    x = 235,170.98

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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.