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Finding the Fourth Proportional to 199,683.92, 275,562.12 and 110,258

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Solution

The fourth proportional to 199,683.92, 275,562.12 and 110,258 is: 152,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,683.92 : 275,562.12 = 110,258 : x
  2. Step 2: Convert to fraction form
    199,683.92/275,562.12 = 110,258/x
  3. Step 3: Cross multiply
    199,683.92x = 275,562.12 × 110,258
  4. Step 4: Simplify right side
    199,683.92x = 30,382,928,226.96
  5. Step 5: Solve for x
    x = 30,382,928,226.96/199,683.92
  6. Step 6: Final answer
    x = 152,155.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.