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Finding the Fourth Proportional to 226,900.96, 313,117.84 and 142,064.80

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Solution

The fourth proportional to 226,900.96, 313,117.84 and 142,064.80 is: 196,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,900.96 : 313,117.84 = 142,064.80 : x
  2. Step 2: Convert to fraction form
    226,900.96/313,117.84 = 142,064.80/x
  3. Step 3: Cross multiply
    226,900.96x = 313,117.84 × 142,064.80
  4. Step 4: Simplify right side
    226,900.96x = 44,483,023,316.03
  5. Step 5: Solve for x
    x = 44,483,023,316.03/226,900.96
  6. Step 6: Final answer
    x = 196,045.99

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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.