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Finding the Fourth Proportional to 100,352.16, 150,763.50 and 94,677.84

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Solution

The fourth proportional to 100,352.16, 150,763.50 and 94,677.84 is: 142,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,352.16 : 150,763.50 = 94,677.84 : x
  2. Step 2: Convert to fraction form
    100,352.16/150,763.50 = 94,677.84/x
  3. Step 3: Cross multiply
    100,352.16x = 150,763.50 × 94,677.84
  4. Step 4: Simplify right side
    100,352.16x = 14,273,962,530.84
  5. Step 5: Solve for x
    x = 14,273,962,530.84/100,352.16
  6. Step 6: Final answer
    x = 142,238.72

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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.