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Finding the Fourth Proportional to 189,834.76, 285,269.46 and 101,151.64

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Solution

The fourth proportional to 189,834.76, 285,269.46 and 101,151.64 is: 152,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,834.76 : 285,269.46 = 101,151.64 : x
  2. Step 2: Convert to fraction form
    189,834.76/285,269.46 = 101,151.64/x
  3. Step 3: Cross multiply
    189,834.76x = 285,269.46 × 101,151.64
  4. Step 4: Simplify right side
    189,834.76x = 28,855,473,720.91
  5. Step 5: Solve for x
    x = 28,855,473,720.91/189,834.76
  6. Step 6: Final answer
    x = 152,003.11

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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.