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Finding the Fourth Proportional to 160,356.32, 221,296.30 and 88,743

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Solution

The fourth proportional to 160,356.32, 221,296.30 and 88,743 is: 122,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,356.32 : 221,296.30 = 88,743 : x
  2. Step 2: Convert to fraction form
    160,356.32/221,296.30 = 88,743/x
  3. Step 3: Cross multiply
    160,356.32x = 221,296.30 × 88,743
  4. Step 4: Simplify right side
    160,356.32x = 19,638,497,329.04
  5. Step 5: Solve for x
    x = 19,638,497,329.04/160,356.32
  6. Step 6: Final answer
    x = 122,467.88

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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.