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Finding the Fourth Proportional to 199,206.16, 274,904.51 and 109,782.16

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Solution

The fourth proportional to 199,206.16, 274,904.51 and 109,782.16 is: 151,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,206.16 : 274,904.51 = 109,782.16 : x
  2. Step 2: Convert to fraction form
    199,206.16/274,904.51 = 109,782.16/x
  3. Step 3: Cross multiply
    199,206.16x = 274,904.51 × 109,782.16
  4. Step 4: Simplify right side
    199,206.16x = 30,179,610,901.54
  5. Step 5: Solve for x
    x = 30,179,610,901.54/199,206.16
  6. Step 6: Final answer
    x = 151,499.39

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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.