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Finding the Fourth Proportional to 221,208.32, 305,258.69 and 130,593.48

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Solution

The fourth proportional to 221,208.32, 305,258.69 and 130,593.48 is: 180,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,208.32 : 305,258.69 = 130,593.48 : x
  2. Step 2: Convert to fraction form
    221,208.32/305,258.69 = 130,593.48/x
  3. Step 3: Cross multiply
    221,208.32x = 305,258.69 × 130,593.48
  4. Step 4: Simplify right side
    221,208.32x = 39,864,794,627.34
  5. Step 5: Solve for x
    x = 39,864,794,627.34/221,208.32
  6. Step 6: Final answer
    x = 180,213.81

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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.