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Finding the Fourth Proportional to 140,145.50, 193,404.90 and 76,487.38

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Solution

The fourth proportional to 140,145.50, 193,404.90 and 76,487.38 is: 105,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.50 : 193,404.90 = 76,487.38 : x
  2. Step 2: Convert to fraction form
    140,145.50/193,404.90 = 76,487.38/x
  3. Step 3: Cross multiply
    140,145.50x = 193,404.90 × 76,487.38
  4. Step 4: Simplify right side
    140,145.50x = 14,793,034,080.16
  5. Step 5: Solve for x
    x = 14,793,034,080.16/140,145.50
  6. Step 6: Final answer
    x = 105,554.83

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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.