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Finding the Fourth Proportional to 208,102.98, 287,182.87 and 112,609.67

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Solution

The fourth proportional to 208,102.98, 287,182.87 and 112,609.67 is: 155,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.98 : 287,182.87 = 112,609.67 : x
  2. Step 2: Convert to fraction form
    208,102.98/287,182.87 = 112,609.67/x
  3. Step 3: Cross multiply
    208,102.98x = 287,182.87 × 112,609.67
  4. Step 4: Simplify right side
    208,102.98x = 32,339,568,220.35
  5. Step 5: Solve for x
    x = 32,339,568,220.35/208,102.98
  6. Step 6: Final answer
    x = 155,401.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.