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Finding the Fourth Proportional to 105,658.40, 158,404.22 and 52,368.73

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Solution

The fourth proportional to 105,658.40, 158,404.22 and 52,368.73 is: 78,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,658.40 : 158,404.22 = 52,368.73 : x
  2. Step 2: Convert to fraction form
    105,658.40/158,404.22 = 52,368.73/x
  3. Step 3: Cross multiply
    105,658.40x = 158,404.22 × 52,368.73
  4. Step 4: Simplify right side
    105,658.40x = 8,295,427,960.58
  5. Step 5: Solve for x
    x = 8,295,427,960.58/105,658.40
  6. Step 6: Final answer
    x = 78,511.77

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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.