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Finding the Fourth Proportional to 121,086.34, 181,658.68 and 37,980.34

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Solution

The fourth proportional to 121,086.34, 181,658.68 and 37,980.34 is: 56,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086.34 : 181,658.68 = 37,980.34 : x
  2. Step 2: Convert to fraction form
    121,086.34/181,658.68 = 37,980.34/x
  3. Step 3: Cross multiply
    121,086.34x = 181,658.68 × 37,980.34
  4. Step 4: Simplify right side
    121,086.34x = 6,899,458,430.35
  5. Step 5: Solve for x
    x = 6,899,458,430.35/121,086.34
  6. Step 6: Final answer
    x = 56,979.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.