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Finding the Fourth Proportional to 114,201, 171,369 and 63,642.24

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Solution

The fourth proportional to 114,201, 171,369 and 63,642.24 is: 95,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,201 : 171,369 = 63,642.24 : x
  2. Step 2: Convert to fraction form
    114,201/171,369 = 63,642.24/x
  3. Step 3: Cross multiply
    114,201x = 171,369 × 63,642.24
  4. Step 4: Simplify right side
    114,201x = 10,906,307,026.56
  5. Step 5: Solve for x
    x = 10,906,307,026.56/114,201
  6. Step 6: Final answer
    x = 95,500.98

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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.