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Finding the Fourth Proportional to 193,453.31, 266,977.42 and 108,570.38

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Solution

The fourth proportional to 193,453.31, 266,977.42 and 108,570.38 is: 149,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,453.31 : 266,977.42 = 108,570.38 : x
  2. Step 2: Convert to fraction form
    193,453.31/266,977.42 = 108,570.38/x
  3. Step 3: Cross multiply
    193,453.31x = 266,977.42 × 108,570.38
  4. Step 4: Simplify right side
    193,453.31x = 28,985,838,334.51
  5. Step 5: Solve for x
    x = 28,985,838,334.51/193,453.31
  6. Step 6: Final answer
    x = 149,833.77

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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.