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Finding the Fourth Proportional to 199,761.03, 275,678.42 and 114,878.07

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Solution

The fourth proportional to 199,761.03, 275,678.42 and 114,878.07 is: 158,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,761.03 : 275,678.42 = 114,878.07 : x
  2. Step 2: Convert to fraction form
    199,761.03/275,678.42 = 114,878.07/x
  3. Step 3: Cross multiply
    199,761.03x = 275,678.42 × 114,878.07
  4. Step 4: Simplify right side
    199,761.03x = 31,669,404,255.86
  5. Step 5: Solve for x
    x = 31,669,404,255.86/199,761.03
  6. Step 6: Final answer
    x = 158,536.45

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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.