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Finding the Fourth Proportional to 207,347.85, 311,071.13 and 67,106.47

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Solution

The fourth proportional to 207,347.85, 311,071.13 and 67,106.47 is: 100,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,347.85 : 311,071.13 = 67,106.47 : x
  2. Step 2: Convert to fraction form
    207,347.85/311,071.13 = 67,106.47/x
  3. Step 3: Cross multiply
    207,347.85x = 311,071.13 × 67,106.47
  4. Step 4: Simplify right side
    207,347.85x = 20,874,885,117.68
  5. Step 5: Solve for x
    x = 20,874,885,117.68/207,347.85
  6. Step 6: Final answer
    x = 100,675.68

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1.5x scale

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.