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Finding the Fourth Proportional to 193,401.80, 290,102.70 and 140,257.70

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Solution

The fourth proportional to 193,401.80, 290,102.70 and 140,257.70 is: 210,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,401.80 : 290,102.70 = 140,257.70 : x
  2. Step 2: Convert to fraction form
    193,401.80/290,102.70 = 140,257.70/x
  3. Step 3: Cross multiply
    193,401.80x = 290,102.70 × 140,257.70
  4. Step 4: Simplify right side
    193,401.80x = 40,689,137,465.79
  5. Step 5: Solve for x
    x = 40,689,137,465.79/193,401.80
  6. Step 6: Final answer
    x = 210,386.55

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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.