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Finding the Fourth Proportional to 191,620.32, 287,166.96 and 97,930.32

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Solution

The fourth proportional to 191,620.32, 287,166.96 and 97,930.32 is: 146,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,620.32 : 287,166.96 = 97,930.32 : x
  2. Step 2: Convert to fraction form
    191,620.32/287,166.96 = 97,930.32/x
  3. Step 3: Cross multiply
    191,620.32x = 287,166.96 × 97,930.32
  4. Step 4: Simplify right side
    191,620.32x = 28,122,352,286.23
  5. Step 5: Solve for x
    x = 28,122,352,286.23/191,620.32
  6. Step 6: Final answer
    x = 146,760.80

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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.