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Finding the Fourth Proportional to 221,641, 305,866.26 and 121,039

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Solution

The fourth proportional to 221,641, 305,866.26 and 121,039 is: 167,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,641 : 305,866.26 = 121,039 : x
  2. Step 2: Convert to fraction form
    221,641/305,866.26 = 121,039/x
  3. Step 3: Cross multiply
    221,641x = 305,866.26 × 121,039
  4. Step 4: Simplify right side
    221,641x = 37,021,746,244.14
  5. Step 5: Solve for x
    x = 37,021,746,244.14/221,641
  6. Step 6: Final answer
    x = 167,034.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.