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Finding the Fourth Proportional to 101,893.65, 140,614.89 and 56,574.56

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Solution

The fourth proportional to 101,893.65, 140,614.89 and 56,574.56 is: 78,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,893.65 : 140,614.89 = 56,574.56 : x
  2. Step 2: Convert to fraction form
    101,893.65/140,614.89 = 56,574.56/x
  3. Step 3: Cross multiply
    101,893.65x = 140,614.89 × 56,574.56
  4. Step 4: Simplify right side
    101,893.65x = 7,955,224,828.12
  5. Step 5: Solve for x
    x = 7,955,224,828.12/101,893.65
  6. Step 6: Final answer
    x = 78,073.80

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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.