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Finding the Fourth Proportional to 170,205, 255,307.50 and 45,542.76

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Solution

The fourth proportional to 170,205, 255,307.50 and 45,542.76 is: 68,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,205 : 255,307.50 = 45,542.76 : x
  2. Step 2: Convert to fraction form
    170,205/255,307.50 = 45,542.76/x
  3. Step 3: Cross multiply
    170,205x = 255,307.50 × 45,542.76
  4. Step 4: Simplify right side
    170,205x = 11,627,408,198.70
  5. Step 5: Solve for x
    x = 11,627,408,198.70/170,205
  6. Step 6: Final answer
    x = 68,314.14

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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.