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Finding the Fourth Proportional to 199,783.92, 275,707.20 and 119,258.16

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Solution

The fourth proportional to 199,783.92, 275,707.20 and 119,258.16 is: 164,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.92 : 275,707.20 = 119,258.16 : x
  2. Step 2: Convert to fraction form
    199,783.92/275,707.20 = 119,258.16/x
  3. Step 3: Cross multiply
    199,783.92x = 275,707.20 × 119,258.16
  4. Step 4: Simplify right side
    199,783.92x = 32,880,333,370.75
  5. Step 5: Solve for x
    x = 32,880,333,370.75/199,783.92
  6. Step 6: Final answer
    x = 164,579.48

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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.