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Finding the Fourth Proportional to 189,527.92, 284,335.62 and 100,866.94

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Solution

The fourth proportional to 189,527.92, 284,335.62 and 100,866.94 is: 151,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,527.92 : 284,335.62 = 100,866.94 : x
  2. Step 2: Convert to fraction form
    189,527.92/284,335.62 = 100,866.94/x
  3. Step 3: Cross multiply
    189,527.92x = 284,335.62 × 100,866.94
  4. Step 4: Simplify right side
    189,527.92x = 28,680,063,922.40
  5. Step 5: Solve for x
    x = 28,680,063,922.40/189,527.92
  6. Step 6: Final answer
    x = 151,323.69

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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.