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Finding the Fourth Proportional to 100,468.46, 150,702.60 and 41,262.50

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Solution

The fourth proportional to 100,468.46, 150,702.60 and 41,262.50 is: 61,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.46 : 150,702.60 = 41,262.50 : x
  2. Step 2: Convert to fraction form
    100,468.46/150,702.60 = 41,262.50/x
  3. Step 3: Cross multiply
    100,468.46x = 150,702.60 × 41,262.50
  4. Step 4: Simplify right side
    100,468.46x = 6,218,366,032.50
  5. Step 5: Solve for x
    x = 6,218,366,032.50/100,468.46
  6. Step 6: Final answer
    x = 61,893.71

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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.