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Finding the Fourth Proportional to 264,117.32, 396,234.29 and 97,905.32

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Solution

The fourth proportional to 264,117.32, 396,234.29 and 97,905.32 is: 146,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,117.32 : 396,234.29 = 97,905.32 : x
  2. Step 2: Convert to fraction form
    264,117.32/396,234.29 = 97,905.32/x
  3. Step 3: Cross multiply
    264,117.32x = 396,234.29 × 97,905.32
  4. Step 4: Simplify right side
    264,117.32x = 38,793,442,976.25
  5. Step 5: Solve for x
    x = 38,793,442,976.25/264,117.32
  6. Step 6: Final answer
    x = 146,879.59

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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.