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Finding the Fourth Proportional to 199,695.92, 275,569.08 and 119,214.32

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Solution

The fourth proportional to 199,695.92, 275,569.08 and 119,214.32 is: 164,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,695.92 : 275,569.08 = 119,214.32 : x
  2. Step 2: Convert to fraction form
    199,695.92/275,569.08 = 119,214.32/x
  3. Step 3: Cross multiply
    199,695.92x = 275,569.08 × 119,214.32
  4. Step 4: Simplify right side
    199,695.92x = 32,851,780,485.23
  5. Step 5: Solve for x
    x = 32,851,780,485.23/199,695.92
  6. Step 6: Final answer
    x = 164,509.02

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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.