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Finding the Fourth Proportional to 199,661.13, 275,499.84 and 117,978.01

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Solution

The fourth proportional to 199,661.13, 275,499.84 and 117,978.01 is: 162,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,661.13 : 275,499.84 = 117,978.01 : x
  2. Step 2: Convert to fraction form
    199,661.13/275,499.84 = 117,978.01/x
  3. Step 3: Cross multiply
    199,661.13x = 275,499.84 × 117,978.01
  4. Step 4: Simplify right side
    199,661.13x = 32,502,922,878.52
  5. Step 5: Solve for x
    x = 32,502,922,878.52/199,661.13
  6. Step 6: Final answer
    x = 162,790.44

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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.