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Finding the Fourth Proportional to 199,538.51, 275,360.76 and 108,896.00

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Solution

The fourth proportional to 199,538.51, 275,360.76 and 108,896.00 is: 150,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,538.51 : 275,360.76 = 108,896.00 : x
  2. Step 2: Convert to fraction form
    199,538.51/275,360.76 = 108,896.00/x
  3. Step 3: Cross multiply
    199,538.51x = 275,360.76 × 108,896.00
  4. Step 4: Simplify right side
    199,538.51x = 29,985,683,944.16
  5. Step 5: Solve for x
    x = 29,985,683,944.16/199,538.51
  6. Step 6: Final answer
    x = 150,275.18

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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.