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Finding the Fourth Proportional to 137,464.84, 206,230.02 and 48,726.10

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Solution

The fourth proportional to 137,464.84, 206,230.02 and 48,726.10 is: 73,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,464.84 : 206,230.02 = 48,726.10 : x
  2. Step 2: Convert to fraction form
    137,464.84/206,230.02 = 48,726.10/x
  3. Step 3: Cross multiply
    137,464.84x = 206,230.02 × 48,726.10
  4. Step 4: Simplify right side
    137,464.84x = 10,048,784,577.52
  5. Step 5: Solve for x
    x = 10,048,784,577.52/137,464.84
  6. Step 6: Final answer
    x = 73,100.76

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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.