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Finding the Fourth Proportional to 189,709.72, 261,796.22 and 103,666.80

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Solution

The fourth proportional to 189,709.72, 261,796.22 and 103,666.80 is: 143,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,709.72 : 261,796.22 = 103,666.80 : x
  2. Step 2: Convert to fraction form
    189,709.72/261,796.22 = 103,666.80/x
  3. Step 3: Cross multiply
    189,709.72x = 261,796.22 × 103,666.80
  4. Step 4: Simplify right side
    189,709.72x = 27,139,576,379.50
  5. Step 5: Solve for x
    x = 27,139,576,379.50/189,709.72
  6. Step 6: Final answer
    x = 143,058.44

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1.5x scale

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.