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Finding the Fourth Proportional to 204,566.78, 282,299.88 and 113,920.76

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Solution

The fourth proportional to 204,566.78, 282,299.88 and 113,920.76 is: 157,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,566.78 : 282,299.88 = 113,920.76 : x
  2. Step 2: Convert to fraction form
    204,566.78/282,299.88 = 113,920.76/x
  3. Step 3: Cross multiply
    204,566.78x = 282,299.88 × 113,920.76
  4. Step 4: Simplify right side
    204,566.78x = 32,159,816,877.51
  5. Step 5: Solve for x
    x = 32,159,816,877.51/204,566.78
  6. Step 6: Final answer
    x = 157,209.38

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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.