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Finding the Fourth Proportional to 213,706.91, 295,166.50 and 170,834.88

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Solution

The fourth proportional to 213,706.91, 295,166.50 and 170,834.88 is: 235,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706.91 : 295,166.50 = 170,834.88 : x
  2. Step 2: Convert to fraction form
    213,706.91/295,166.50 = 170,834.88/x
  3. Step 3: Cross multiply
    213,706.91x = 295,166.50 × 170,834.88
  4. Step 4: Simplify right side
    213,706.91x = 50,424,732,627.00
  5. Step 5: Solve for x
    x = 50,424,732,627.00/213,706.91
  6. Step 6: Final answer
    x = 235,952.74

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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.