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Finding the Fourth Proportional to 100,893.75, 150,966.96 and 63,153.15

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Solution

The fourth proportional to 100,893.75, 150,966.96 and 63,153.15 is: 94,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,893.75 : 150,966.96 = 63,153.15 : x
  2. Step 2: Convert to fraction form
    100,893.75/150,966.96 = 63,153.15/x
  3. Step 3: Cross multiply
    100,893.75x = 150,966.96 × 63,153.15
  4. Step 4: Simplify right side
    100,893.75x = 9,534,039,069.92
  5. Step 5: Solve for x
    x = 9,534,039,069.92/100,893.75
  6. Step 6: Final answer
    x = 94,495.83

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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.