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Finding the Fourth Proportional to 136,994.19, 205,507.89 and 48,229.53

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Solution

The fourth proportional to 136,994.19, 205,507.89 and 48,229.53 is: 72,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,994.19 : 205,507.89 = 48,229.53 : x
  2. Step 2: Convert to fraction form
    136,994.19/205,507.89 = 48,229.53/x
  3. Step 3: Cross multiply
    136,994.19x = 205,507.89 × 48,229.53
  4. Step 4: Simplify right side
    136,994.19x = 9,911,548,945.99
  5. Step 5: Solve for x
    x = 9,911,548,945.99/136,994.19
  6. Step 6: Final answer
    x = 72,350.14

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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.