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Finding the Fourth Proportional to 232,222.22, 349,120.74 and 185,435

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Solution

The fourth proportional to 232,222.22, 349,120.74 and 185,435 is: 278,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,222.22 : 349,120.74 = 185,435 : x
  2. Step 2: Convert to fraction form
    232,222.22/349,120.74 = 185,435/x
  3. Step 3: Cross multiply
    232,222.22x = 349,120.74 × 185,435
  4. Step 4: Simplify right side
    232,222.22x = 64,739,204,421.90
  5. Step 5: Solve for x
    x = 64,739,204,421.90/232,222.22
  6. Step 6: Final answer
    x = 278,781.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.