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Finding the Fourth Proportional to 137,798.58, 206,727.38 and 47,844.10

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Solution

The fourth proportional to 137,798.58, 206,727.38 and 47,844.10 is: 71,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,798.58 : 206,727.38 = 47,844.10 : x
  2. Step 2: Convert to fraction form
    137,798.58/206,727.38 = 47,844.10/x
  3. Step 3: Cross multiply
    137,798.58x = 206,727.38 × 47,844.10
  4. Step 4: Simplify right side
    137,798.58x = 9,890,685,640.06
  5. Step 5: Solve for x
    x = 9,890,685,640.06/137,798.58
  6. Step 6: Final answer
    x = 71,776.40

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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.