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Finding the Fourth Proportional to 511,863.72, 767,841.66 and 137,878.44

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Solution

The fourth proportional to 511,863.72, 767,841.66 and 137,878.44 is: 206,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,863.72 : 767,841.66 = 137,878.44 : x
  2. Step 2: Convert to fraction form
    511,863.72/767,841.66 = 137,878.44/x
  3. Step 3: Cross multiply
    511,863.72x = 767,841.66 × 137,878.44
  4. Step 4: Simplify right side
    511,863.72x = 105,868,810,247.81
  5. Step 5: Solve for x
    x = 105,868,810,247.81/511,863.72
  6. Step 6: Final answer
    x = 206,830.07

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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.