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Finding the Fourth Proportional to 221,952.72, 306,296.04 and 121,350.72

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Solution

The fourth proportional to 221,952.72, 306,296.04 and 121,350.72 is: 167,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,952.72 : 306,296.04 = 121,350.72 : x
  2. Step 2: Convert to fraction form
    221,952.72/306,296.04 = 121,350.72/x
  3. Step 3: Cross multiply
    221,952.72x = 306,296.04 × 121,350.72
  4. Step 4: Simplify right side
    221,952.72x = 37,169,244,987.15
  5. Step 5: Solve for x
    x = 37,169,244,987.15/221,952.72
  6. Step 6: Final answer
    x = 167,464.70

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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.