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Finding the Fourth Proportional to 121,190.48, 181,815.17 and 36,952.14

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Solution

The fourth proportional to 121,190.48, 181,815.17 and 36,952.14 is: 55,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,190.48 : 181,815.17 = 36,952.14 : x
  2. Step 2: Convert to fraction form
    121,190.48/181,815.17 = 36,952.14/x
  3. Step 3: Cross multiply
    121,190.48x = 181,815.17 × 36,952.14
  4. Step 4: Simplify right side
    121,190.48x = 6,718,459,431.20
  5. Step 5: Solve for x
    x = 6,718,459,431.20/121,190.48
  6. Step 6: Final answer
    x = 55,437.19

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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.