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Finding the Fourth Proportional to 121,097, 181,674.66 and 37,991

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Solution

The fourth proportional to 121,097, 181,674.66 and 37,991 is: 56,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,097 : 181,674.66 = 37,991 : x
  2. Step 2: Convert to fraction form
    121,097/181,674.66 = 37,991/x
  3. Step 3: Cross multiply
    121,097x = 181,674.66 × 37,991
  4. Step 4: Simplify right side
    121,097x = 6,902,002,008.06
  5. Step 5: Solve for x
    x = 6,902,002,008.06/121,097
  6. Step 6: Final answer
    x = 56,995.65

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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.