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Finding the Fourth Proportional to 232,874.44, 349,019.40 and 99,598

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Solution

The fourth proportional to 232,874.44, 349,019.40 and 99,598 is: 149,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,874.44 : 349,019.40 = 99,598 : x
  2. Step 2: Convert to fraction form
    232,874.44/349,019.40 = 99,598/x
  3. Step 3: Cross multiply
    232,874.44x = 349,019.40 × 99,598
  4. Step 4: Simplify right side
    232,874.44x = 34,761,634,201.20
  5. Step 5: Solve for x
    x = 34,761,634,201.20/232,874.44
  6. Step 6: Final answer
    x = 149,272.00

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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.