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Finding the Fourth Proportional to 121,122, 181,689.48 and 38,022.48

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Solution

The fourth proportional to 121,122, 181,689.48 and 38,022.48 is: 57,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122 : 181,689.48 = 38,022.48 : x
  2. Step 2: Convert to fraction form
    121,122/181,689.48 = 38,022.48/x
  3. Step 3: Cross multiply
    121,122x = 181,689.48 × 38,022.48
  4. Step 4: Simplify right side
    121,122x = 6,908,284,619.51
  5. Step 5: Solve for x
    x = 6,908,284,619.51/121,122
  6. Step 6: Final answer
    x = 57,035.75

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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.