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Finding the Fourth Proportional to 160,410.42, 221,382.86 and 92,429.96

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Solution

The fourth proportional to 160,410.42, 221,382.86 and 92,429.96 is: 127,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,410.42 : 221,382.86 = 92,429.96 : x
  2. Step 2: Convert to fraction form
    160,410.42/221,382.86 = 92,429.96/x
  3. Step 3: Cross multiply
    160,410.42x = 221,382.86 × 92,429.96
  4. Step 4: Simplify right side
    160,410.42x = 20,462,407,325.42
  5. Step 5: Solve for x
    x = 20,462,407,325.42/160,410.42
  6. Step 6: Final answer
    x = 127,562.83

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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.