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Finding the Fourth Proportional to 100,295.64, 150,457.95 and 53,523

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Solution

The fourth proportional to 100,295.64, 150,457.95 and 53,523 is: 80,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.64 : 150,457.95 = 53,523 : x
  2. Step 2: Convert to fraction form
    100,295.64/150,457.95 = 53,523/x
  3. Step 3: Cross multiply
    100,295.64x = 150,457.95 × 53,523
  4. Step 4: Simplify right side
    100,295.64x = 8,052,960,857.85
  5. Step 5: Solve for x
    x = 8,052,960,857.85/100,295.64
  6. Step 6: Final answer
    x = 80,292.23

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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.