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Finding the Fourth Proportional to 189,833.76, 285,267.96 and 101,150.64

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Solution

The fourth proportional to 189,833.76, 285,267.96 and 101,150.64 is: 152,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,833.76 : 285,267.96 = 101,150.64 : x
  2. Step 2: Convert to fraction form
    189,833.76/285,267.96 = 101,150.64/x
  3. Step 3: Cross multiply
    189,833.76x = 285,267.96 × 101,150.64
  4. Step 4: Simplify right side
    189,833.76x = 28,855,036,725.49
  5. Step 5: Solve for x
    x = 28,855,036,725.49/189,833.76
  6. Step 6: Final answer
    x = 152,001.61

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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.