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Finding the Fourth Proportional to 253,606.71, 349,977.24 and 140,429.46

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Solution

The fourth proportional to 253,606.71, 349,977.24 and 140,429.46 is: 193,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,606.71 : 349,977.24 = 140,429.46 : x
  2. Step 2: Convert to fraction form
    253,606.71/349,977.24 = 140,429.46/x
  3. Step 3: Cross multiply
    253,606.71x = 349,977.24 × 140,429.46
  4. Step 4: Simplify right side
    253,606.71x = 49,147,114,825.49
  5. Step 5: Solve for x
    x = 49,147,114,825.49/253,606.71
  6. Step 6: Final answer
    x = 193,792.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.