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Finding the Fourth Proportional to 114,064.88, 171,135.48 and 64,242.56

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Solution

The fourth proportional to 114,064.88, 171,135.48 and 64,242.56 is: 96,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,064.88 : 171,135.48 = 64,242.56 : x
  2. Step 2: Convert to fraction form
    114,064.88/171,135.48 = 64,242.56/x
  3. Step 3: Cross multiply
    114,064.88x = 171,135.48 × 64,242.56
  4. Step 4: Simplify right side
    114,064.88x = 10,994,181,342.03
  5. Step 5: Solve for x
    x = 10,994,181,342.03/114,064.88
  6. Step 6: Final answer
    x = 96,385.33

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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.