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Finding the Fourth Proportional to 217,378.50, 299,920.98 and 140,900.80

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Solution

The fourth proportional to 217,378.50, 299,920.98 and 140,900.80 is: 194,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,378.50 : 299,920.98 = 140,900.80 : x
  2. Step 2: Convert to fraction form
    217,378.50/299,920.98 = 140,900.80/x
  3. Step 3: Cross multiply
    217,378.50x = 299,920.98 × 140,900.80
  4. Step 4: Simplify right side
    217,378.50x = 42,259,106,018.78
  5. Step 5: Solve for x
    x = 42,259,106,018.78/217,378.50
  6. Step 6: Final answer
    x = 194,403.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.