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Finding the Fourth Proportional to 121,142.81, 181,723.43 and 36,910.16

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Solution

The fourth proportional to 121,142.81, 181,723.43 and 36,910.16 is: 55,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.81 : 181,723.43 = 36,910.16 : x
  2. Step 2: Convert to fraction form
    121,142.81/181,723.43 = 36,910.16/x
  3. Step 3: Cross multiply
    121,142.81x = 181,723.43 × 36,910.16
  4. Step 4: Simplify right side
    121,142.81x = 6,707,441,423.63
  5. Step 5: Solve for x
    x = 6,707,441,423.63/121,142.81
  6. Step 6: Final answer
    x = 55,368.05

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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.