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Finding the Fourth Proportional to 199,684.76, 299,521.38 and 51,940.76

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Solution

The fourth proportional to 199,684.76, 299,521.38 and 51,940.76 is: 77,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684.76 : 299,521.38 = 51,940.76 : x
  2. Step 2: Convert to fraction form
    199,684.76/299,521.38 = 51,940.76/x
  3. Step 3: Cross multiply
    199,684.76x = 299,521.38 × 51,940.76
  4. Step 4: Simplify right side
    199,684.76x = 15,557,368,113.45
  5. Step 5: Solve for x
    x = 15,557,368,113.45/199,684.76
  6. Step 6: Final answer
    x = 77,909.64

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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.