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Finding the Fourth Proportional to 221,207.32, 305,257.31 and 130,592.48

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Solution

The fourth proportional to 221,207.32, 305,257.31 and 130,592.48 is: 180,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,207.32 : 305,257.31 = 130,592.48 : x
  2. Step 2: Convert to fraction form
    221,207.32/305,257.31 = 130,592.48/x
  3. Step 3: Cross multiply
    221,207.32x = 305,257.31 × 130,592.48
  4. Step 4: Simplify right side
    221,207.32x = 39,864,310,485.51
  5. Step 5: Solve for x
    x = 39,864,310,485.51/221,207.32
  6. Step 6: Final answer
    x = 180,212.44

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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.