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Finding the Fourth Proportional to 199,563.84, 275,400.64 and 117,894.76

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Solution

The fourth proportional to 199,563.84, 275,400.64 and 117,894.76 is: 162,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,563.84 : 275,400.64 = 117,894.76 : x
  2. Step 2: Convert to fraction form
    199,563.84/275,400.64 = 117,894.76/x
  3. Step 3: Cross multiply
    199,563.84x = 275,400.64 × 117,894.76
  4. Step 4: Simplify right side
    199,563.84x = 32,468,292,356.65
  5. Step 5: Solve for x
    x = 32,468,292,356.65/199,563.84
  6. Step 6: Final answer
    x = 162,696.27

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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.