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Finding the Fourth Proportional to 511,987.10, 767,951.91 and 157,000.14

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Solution

The fourth proportional to 511,987.10, 767,951.91 and 157,000.14 is: 235,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,987.10 : 767,951.91 = 157,000.14 : x
  2. Step 2: Convert to fraction form
    511,987.10/767,951.91 = 157,000.14/x
  3. Step 3: Cross multiply
    511,987.10x = 767,951.91 × 157,000.14
  4. Step 4: Simplify right side
    511,987.10x = 120,568,557,383.27
  5. Step 5: Solve for x
    x = 120,568,557,383.27/511,987.10
  6. Step 6: Final answer
    x = 235,491.40

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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.