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Finding the Fourth Proportional to 194,093.52, 267,848.47 and 109,210.65

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Solution

The fourth proportional to 194,093.52, 267,848.47 and 109,210.65 is: 150,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,093.52 : 267,848.47 = 109,210.65 : x
  2. Step 2: Convert to fraction form
    194,093.52/267,848.47 = 109,210.65/x
  3. Step 3: Cross multiply
    194,093.52x = 267,848.47 × 109,210.65
  4. Step 4: Simplify right side
    194,093.52x = 29,251,905,510.21
  5. Step 5: Solve for x
    x = 29,251,905,510.21/194,093.52
  6. Step 6: Final answer
    x = 150,710.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.