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Finding the Fourth Proportional to 112,038.30, 167,909.85 and 82,316.70

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Solution

The fourth proportional to 112,038.30, 167,909.85 and 82,316.70 is: 123,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,038.30 : 167,909.85 = 82,316.70 : x
  2. Step 2: Convert to fraction form
    112,038.30/167,909.85 = 82,316.70/x
  3. Step 3: Cross multiply
    112,038.30x = 167,909.85 × 82,316.70
  4. Step 4: Simplify right side
    112,038.30x = 13,821,784,749.50
  5. Step 5: Solve for x
    x = 13,821,784,749.50/112,038.30
  6. Step 6: Final answer
    x = 123,366.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.