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Finding the Fourth Proportional to 172,658.59, 238,305.61 and 116,037.16

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Solution

The fourth proportional to 172,658.59, 238,305.61 and 116,037.16 is: 160,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,658.59 : 238,305.61 = 116,037.16 : x
  2. Step 2: Convert to fraction form
    172,658.59/238,305.61 = 116,037.16/x
  3. Step 3: Cross multiply
    172,658.59x = 238,305.61 × 116,037.16
  4. Step 4: Simplify right side
    172,658.59x = 27,652,305,745.75
  5. Step 5: Solve for x
    x = 27,652,305,745.75/172,658.59
  6. Step 6: Final answer
    x = 160,155.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.