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Finding the Fourth Proportional to 160,822.78, 221,945.51 and 92,852.22

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Solution

The fourth proportional to 160,822.78, 221,945.51 and 92,852.22 is: 128,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,822.78 : 221,945.51 = 92,852.22 : x
  2. Step 2: Convert to fraction form
    160,822.78/221,945.51 = 92,852.22/x
  3. Step 3: Cross multiply
    160,822.78x = 221,945.51 × 92,852.22
  4. Step 4: Simplify right side
    160,822.78x = 20,608,133,322.53
  5. Step 5: Solve for x
    x = 20,608,133,322.53/160,822.78
  6. Step 6: Final answer
    x = 128,141.88

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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.