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Finding the Fourth Proportional to 205,930.16, 308,863.52 and 56,182.64

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Solution

The fourth proportional to 205,930.16, 308,863.52 and 56,182.64 is: 84,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,930.16 : 308,863.52 = 56,182.64 : x
  2. Step 2: Convert to fraction form
    205,930.16/308,863.52 = 56,182.64/x
  3. Step 3: Cross multiply
    205,930.16x = 308,863.52 × 56,182.64
  4. Step 4: Simplify right side
    205,930.16x = 17,352,767,953.29
  5. Step 5: Solve for x
    x = 17,352,767,953.29/205,930.16
  6. Step 6: Final answer
    x = 84,265.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.