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Finding the Fourth Proportional to 191,770.48, 287,697.24 and 73,441.81

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Solution

The fourth proportional to 191,770.48, 287,697.24 and 73,441.81 is: 110,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,770.48 : 287,697.24 = 73,441.81 : x
  2. Step 2: Convert to fraction form
    191,770.48/287,697.24 = 73,441.81/x
  3. Step 3: Cross multiply
    191,770.48x = 287,697.24 × 73,441.81
  4. Step 4: Simplify right side
    191,770.48x = 21,129,006,037.60
  5. Step 5: Solve for x
    x = 21,129,006,037.60/191,770.48
  6. Step 6: Final answer
    x = 110,178.62

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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.