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Finding the Fourth Proportional to 137,415.66, 206,123.49 and 48,647.94

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Solution

The fourth proportional to 137,415.66, 206,123.49 and 48,647.94 is: 72,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.66 : 206,123.49 = 48,647.94 : x
  2. Step 2: Convert to fraction form
    137,415.66/206,123.49 = 48,647.94/x
  3. Step 3: Cross multiply
    137,415.66x = 206,123.49 × 48,647.94
  4. Step 4: Simplify right side
    137,415.66x = 10,027,483,174.11
  5. Step 5: Solve for x
    x = 10,027,483,174.11/137,415.66
  6. Step 6: Final answer
    x = 72,971.91

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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.