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Finding the Fourth Proportional to 121,238.50, 181,857.75 and 36,999.10

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Solution

The fourth proportional to 121,238.50, 181,857.75 and 36,999.10 is: 55,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,238.50 : 181,857.75 = 36,999.10 : x
  2. Step 2: Convert to fraction form
    121,238.50/181,857.75 = 36,999.10/x
  3. Step 3: Cross multiply
    121,238.50x = 181,857.75 × 36,999.10
  4. Step 4: Simplify right side
    121,238.50x = 6,728,572,403.80
  5. Step 5: Solve for x
    x = 6,728,572,403.80/121,238.50
  6. Step 6: Final answer
    x = 55,498.64

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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.