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Finding the Fourth Proportional to 223,312.41, 334,780.32 and 96,857.46

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Solution

The fourth proportional to 223,312.41, 334,780.32 and 96,857.46 is: 145,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,312.41 : 334,780.32 = 96,857.46 : x
  2. Step 2: Convert to fraction form
    223,312.41/334,780.32 = 96,857.46/x
  3. Step 3: Cross multiply
    223,312.41x = 334,780.32 × 96,857.46
  4. Step 4: Simplify right side
    223,312.41x = 32,425,969,779.29
  5. Step 5: Solve for x
    x = 32,425,969,779.29/223,312.41
  6. Step 6: Final answer
    x = 145,204.52

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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.