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Finding the Fourth Proportional to 137,322.20, 205,983.30 and 48,675.80

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Solution

The fourth proportional to 137,322.20, 205,983.30 and 48,675.80 is: 73,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.20 : 205,983.30 = 48,675.80 : x
  2. Step 2: Convert to fraction form
    137,322.20/205,983.30 = 48,675.80/x
  3. Step 3: Cross multiply
    137,322.20x = 205,983.30 × 48,675.80
  4. Step 4: Simplify right side
    137,322.20x = 10,026,401,914.14
  5. Step 5: Solve for x
    x = 10,026,401,914.14/137,322.20
  6. Step 6: Final answer
    x = 73,013.70

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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.