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Finding the Fourth Proportional to 140,521.16, 193,926.30 and 83,193.38

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Solution

The fourth proportional to 140,521.16, 193,926.30 and 83,193.38 is: 114,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,521.16 : 193,926.30 = 83,193.38 : x
  2. Step 2: Convert to fraction form
    140,521.16/193,926.30 = 83,193.38/x
  3. Step 3: Cross multiply
    140,521.16x = 193,926.30 × 83,193.38
  4. Step 4: Simplify right side
    140,521.16x = 16,133,384,367.89
  5. Step 5: Solve for x
    x = 16,133,384,367.89/140,521.16
  6. Step 6: Final answer
    x = 114,811.07

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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.