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Finding the Fourth Proportional to 191,458.24, 287,318.60 and 66,799.24

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Solution

The fourth proportional to 191,458.24, 287,318.60 and 66,799.24 is: 100,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,458.24 : 287,318.60 = 66,799.24 : x
  2. Step 2: Convert to fraction form
    191,458.24/287,318.60 = 66,799.24/x
  3. Step 3: Cross multiply
    191,458.24x = 287,318.60 × 66,799.24
  4. Step 4: Simplify right side
    191,458.24x = 19,192,664,117.86
  5. Step 5: Solve for x
    x = 19,192,664,117.86/191,458.24
  6. Step 6: Final answer
    x = 100,244.65

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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.