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Finding the Fourth Proportional to 153,846.20, 212,234.95 and 100,111.61

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Solution

The fourth proportional to 153,846.20, 212,234.95 and 100,111.61 is: 138,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.20 : 212,234.95 = 100,111.61 : x
  2. Step 2: Convert to fraction form
    153,846.20/212,234.95 = 100,111.61/x
  3. Step 3: Cross multiply
    153,846.20x = 212,234.95 × 100,111.61
  4. Step 4: Simplify right side
    153,846.20x = 21,247,182,542.77
  5. Step 5: Solve for x
    x = 21,247,182,542.77/153,846.20
  6. Step 6: Final answer
    x = 138,106.65

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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.