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Finding the Fourth Proportional to 137,165.48, 205,764.78 and 48,400.76

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Solution

The fourth proportional to 137,165.48, 205,764.78 and 48,400.76 is: 72,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,165.48 : 205,764.78 = 48,400.76 : x
  2. Step 2: Convert to fraction form
    137,165.48/205,764.78 = 48,400.76/x
  3. Step 3: Cross multiply
    137,165.48x = 205,764.78 × 48,400.76
  4. Step 4: Simplify right side
    137,165.48x = 9,959,171,733.23
  5. Step 5: Solve for x
    x = 9,959,171,733.23/137,165.48
  6. Step 6: Final answer
    x = 72,606.98

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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.