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Finding the Fourth Proportional to 251,641.14, 377,482.62 and 109,491.30

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Solution

The fourth proportional to 251,641.14, 377,482.62 and 109,491.30 is: 164,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,641.14 : 377,482.62 = 109,491.30 : x
  2. Step 2: Convert to fraction form
    251,641.14/377,482.62 = 109,491.30/x
  3. Step 3: Cross multiply
    251,641.14x = 377,482.62 × 109,491.30
  4. Step 4: Simplify right side
    251,641.14x = 41,331,062,791.21
  5. Step 5: Solve for x
    x = 41,331,062,791.21/251,641.14
  6. Step 6: Final answer
    x = 164,246.05

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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.