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Finding the Fourth Proportional to 189,288.52, 283,871.36 and 62,894.83

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Solution

The fourth proportional to 189,288.52, 283,871.36 and 62,894.83 is: 94,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,288.52 : 283,871.36 = 62,894.83 : x
  2. Step 2: Convert to fraction form
    189,288.52/283,871.36 = 62,894.83/x
  3. Step 3: Cross multiply
    189,288.52x = 283,871.36 × 62,894.83
  4. Step 4: Simplify right side
    189,288.52x = 17,854,041,280.59
  5. Step 5: Solve for x
    x = 17,854,041,280.59/189,288.52
  6. Step 6: Final answer
    x = 94,321.84

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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.