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Finding the Fourth Proportional to 199,375.48, 274,982.64 and 127,762.16

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Solution

The fourth proportional to 199,375.48, 274,982.64 and 127,762.16 is: 176,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,375.48 : 274,982.64 = 127,762.16 : x
  2. Step 2: Convert to fraction form
    199,375.48/274,982.64 = 127,762.16/x
  3. Step 3: Cross multiply
    199,375.48x = 274,982.64 × 127,762.16
  4. Step 4: Simplify right side
    199,375.48x = 35,132,376,048.90
  5. Step 5: Solve for x
    x = 35,132,376,048.90/199,375.48
  6. Step 6: Final answer
    x = 176,212.12

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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.