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Finding the Fourth Proportional to 189,037.52, 283,288.80 and 104,834.72

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Solution

The fourth proportional to 189,037.52, 283,288.80 and 104,834.72 is: 157,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,037.52 : 283,288.80 = 104,834.72 : x
  2. Step 2: Convert to fraction form
    189,037.52/283,288.80 = 104,834.72/x
  3. Step 3: Cross multiply
    189,037.52x = 283,288.80 × 104,834.72
  4. Step 4: Simplify right side
    189,037.52x = 29,698,502,027.14
  5. Step 5: Solve for x
    x = 29,698,502,027.14/189,037.52
  6. Step 6: Final answer
    x = 157,103.74

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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.