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Finding the Fourth Proportional to 223,311.91, 334,779.57 and 96,856.96

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Solution

The fourth proportional to 223,311.91, 334,779.57 and 96,856.96 is: 145,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,311.91 : 334,779.57 = 96,856.96 : x
  2. Step 2: Convert to fraction form
    223,311.91/334,779.57 = 96,856.96/x
  3. Step 3: Cross multiply
    223,311.91x = 334,779.57 × 96,856.96
  4. Step 4: Simplify right side
    223,311.91x = 32,425,729,746.41
  5. Step 5: Solve for x
    x = 32,425,729,746.41/223,311.91
  6. Step 6: Final answer
    x = 145,203.77

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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.