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Finding the Fourth Proportional to 140,146.50, 193,406.28 and 76,488.38

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Solution

The fourth proportional to 140,146.50, 193,406.28 and 76,488.38 is: 105,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,146.50 : 193,406.28 = 76,488.38 : x
  2. Step 2: Convert to fraction form
    140,146.50/193,406.28 = 76,488.38/x
  3. Step 3: Cross multiply
    140,146.50x = 193,406.28 × 76,488.38
  4. Step 4: Simplify right side
    140,146.50x = 14,793,333,039.03
  5. Step 5: Solve for x
    x = 14,793,333,039.03/140,146.50
  6. Step 6: Final answer
    x = 105,556.21

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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.