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Finding the Fourth Proportional to 120,937.70, 181,406.91 and 36,698.54

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Solution

The fourth proportional to 120,937.70, 181,406.91 and 36,698.54 is: 55,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,937.70 : 181,406.91 = 36,698.54 : x
  2. Step 2: Convert to fraction form
    120,937.70/181,406.91 = 36,698.54/x
  3. Step 3: Cross multiply
    120,937.70x = 181,406.91 × 36,698.54
  4. Step 4: Simplify right side
    120,937.70x = 6,657,368,742.91
  5. Step 5: Solve for x
    x = 6,657,368,742.91/120,937.70
  6. Step 6: Final answer
    x = 55,047.92

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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.