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Finding the Fourth Proportional to 204,698.52, 282,476.16 and 114,052.50

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Solution

The fourth proportional to 204,698.52, 282,476.16 and 114,052.50 is: 157,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,698.52 : 282,476.16 = 114,052.50 : x
  2. Step 2: Convert to fraction form
    204,698.52/282,476.16 = 114,052.50/x
  3. Step 3: Cross multiply
    204,698.52x = 282,476.16 × 114,052.50
  4. Step 4: Simplify right side
    204,698.52x = 32,217,112,238.40
  5. Step 5: Solve for x
    x = 32,217,112,238.40/204,698.52
  6. Step 6: Final answer
    x = 157,388.11

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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.