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Finding the Fourth Proportional to 221,896.50, 306,217.18 and 121,294.50

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Solution

The fourth proportional to 221,896.50, 306,217.18 and 121,294.50 is: 167,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,896.50 : 306,217.18 = 121,294.50 : x
  2. Step 2: Convert to fraction form
    221,896.50/306,217.18 = 121,294.50/x
  3. Step 3: Cross multiply
    221,896.50x = 306,217.18 × 121,294.50
  4. Step 4: Simplify right side
    221,896.50x = 37,142,459,739.51
  5. Step 5: Solve for x
    x = 37,142,459,739.51/221,896.50
  6. Step 6: Final answer
    x = 167,386.42

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Why These Related Problems?

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