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Finding the Fourth Proportional to 199,681.92, 275,559.36 and 110,256

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Solution

The fourth proportional to 199,681.92, 275,559.36 and 110,256 is: 152,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,681.92 : 275,559.36 = 110,256 : x
  2. Step 2: Convert to fraction form
    199,681.92/275,559.36 = 110,256/x
  3. Step 3: Cross multiply
    199,681.92x = 275,559.36 × 110,256
  4. Step 4: Simplify right side
    199,681.92x = 30,382,072,796.16
  5. Step 5: Solve for x
    x = 30,382,072,796.16/199,681.92
  6. Step 6: Final answer
    x = 152,152.35

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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.