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Finding the Fourth Proportional to 204,441.99, 282,129.88 and 113,796.01

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Solution

The fourth proportional to 204,441.99, 282,129.88 and 113,796.01 is: 157,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,441.99 : 282,129.88 = 113,796.01 : x
  2. Step 2: Convert to fraction form
    204,441.99/282,129.88 = 113,796.01/x
  3. Step 3: Cross multiply
    204,441.99x = 282,129.88 × 113,796.01
  4. Step 4: Simplify right side
    204,441.99x = 32,105,254,645.78
  5. Step 5: Solve for x
    x = 32,105,254,645.78/204,441.99
  6. Step 6: Final answer
    x = 157,038.46

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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.