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Finding the Fourth Proportional to 233,142.60, 349,714.44 and 99,936.48

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Solution

The fourth proportional to 233,142.60, 349,714.44 and 99,936.48 is: 149,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142.60 : 349,714.44 = 99,936.48 : x
  2. Step 2: Convert to fraction form
    233,142.60/349,714.44 = 99,936.48/x
  3. Step 3: Cross multiply
    233,142.60x = 349,714.44 × 99,936.48
  4. Step 4: Simplify right side
    233,142.60x = 34,949,230,138.77
  5. Step 5: Solve for x
    x = 34,949,230,138.77/233,142.60
  6. Step 6: Final answer
    x = 149,904.95

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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.