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Finding the Fourth Proportional to 136,820.24, 205,210.56 and 36,986.24

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Solution

The fourth proportional to 136,820.24, 205,210.56 and 36,986.24 is: 55,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820.24 : 205,210.56 = 36,986.24 : x
  2. Step 2: Convert to fraction form
    136,820.24/205,210.56 = 36,986.24/x
  3. Step 3: Cross multiply
    136,820.24x = 205,210.56 × 36,986.24
  4. Step 4: Simplify right side
    136,820.24x = 7,589,967,022.69
  5. Step 5: Solve for x
    x = 7,589,967,022.69/136,820.24
  6. Step 6: Final answer
    x = 55,474.01

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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.