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Finding the Fourth Proportional to 137,443.42, 206,187.54 and 48,677.68

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Solution

The fourth proportional to 137,443.42, 206,187.54 and 48,677.68 is: 73,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,443.42 : 206,187.54 = 48,677.68 : x
  2. Step 2: Convert to fraction form
    137,443.42/206,187.54 = 48,677.68/x
  3. Step 3: Cross multiply
    137,443.42x = 206,187.54 × 48,677.68
  4. Step 4: Simplify right side
    137,443.42x = 10,036,731,092.11
  5. Step 5: Solve for x
    x = 10,036,731,092.11/137,443.42
  6. Step 6: Final answer
    x = 73,024.46

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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.