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Finding the Fourth Proportional to 275,192.64, 412,827.21 and 97,657.43

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Solution

The fourth proportional to 275,192.64, 412,827.21 and 97,657.43 is: 146,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,192.64 : 412,827.21 = 97,657.43 : x
  2. Step 2: Convert to fraction form
    275,192.64/412,827.21 = 97,657.43/x
  3. Step 3: Cross multiply
    275,192.64x = 412,827.21 × 97,657.43
  4. Step 4: Simplify right side
    275,192.64x = 40,315,642,298.53
  5. Step 5: Solve for x
    x = 40,315,642,298.53/275,192.64
  6. Step 6: Final answer
    x = 146,499.71

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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.