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Finding the Fourth Proportional to 221,080.13, 305,322.15 and 152,348.30

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Solution

The fourth proportional to 221,080.13, 305,322.15 and 152,348.30 is: 210,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,080.13 : 305,322.15 = 152,348.30 : x
  2. Step 2: Convert to fraction form
    221,080.13/305,322.15 = 152,348.30/x
  3. Step 3: Cross multiply
    221,080.13x = 305,322.15 × 152,348.30
  4. Step 4: Simplify right side
    221,080.13x = 46,515,310,504.85
  5. Step 5: Solve for x
    x = 46,515,310,504.85/221,080.13
  6. Step 6: Final answer
    x = 210,400.23

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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.