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Finding the Fourth Proportional to 456,702.12, 685,118.80 and 141,183.64

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Solution

The fourth proportional to 456,702.12, 685,118.80 and 141,183.64 is: 211,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,702.12 : 685,118.80 = 141,183.64 : x
  2. Step 2: Convert to fraction form
    456,702.12/685,118.80 = 141,183.64/x
  3. Step 3: Cross multiply
    456,702.12x = 685,118.80 × 141,183.64
  4. Step 4: Simplify right side
    456,702.12x = 96,727,566,016.43
  5. Step 5: Solve for x
    x = 96,727,566,016.43/456,702.12
  6. Step 6: Final answer
    x = 211,795.75

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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.