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Finding the Fourth Proportional to 204,598.92, 282,345.72 and 113,955.96

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Solution

The fourth proportional to 204,598.92, 282,345.72 and 113,955.96 is: 157,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,598.92 : 282,345.72 = 113,955.96 : x
  2. Step 2: Convert to fraction form
    204,598.92/282,345.72 = 113,955.96/x
  3. Step 3: Cross multiply
    204,598.92x = 282,345.72 × 113,955.96
  4. Step 4: Simplify right side
    204,598.92x = 32,174,977,574.49
  5. Step 5: Solve for x
    x = 32,174,977,574.49/204,598.92
  6. Step 6: Final answer
    x = 157,258.79

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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.