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Finding the Fourth Proportional to 233,234.15, 349,852.85 and 100,002.11

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Solution

The fourth proportional to 233,234.15, 349,852.85 and 100,002.11 is: 150,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,234.15 : 349,852.85 = 100,002.11 : x
  2. Step 2: Convert to fraction form
    233,234.15/349,852.85 = 100,002.11/x
  3. Step 3: Cross multiply
    233,234.15x = 349,852.85 × 100,002.11
  4. Step 4: Simplify right side
    233,234.15x = 34,986,022,689.50
  5. Step 5: Solve for x
    x = 34,986,022,689.50/233,234.15
  6. Step 6: Final answer
    x = 150,003.86

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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.