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Finding the Fourth Proportional to 114,642.45, 171,808.16 and 64,697.85

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Solution

The fourth proportional to 114,642.45, 171,808.16 and 64,697.85 is: 96,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,642.45 : 171,808.16 = 64,697.85 : x
  2. Step 2: Convert to fraction form
    114,642.45/171,808.16 = 64,697.85/x
  3. Step 3: Cross multiply
    114,642.45x = 171,808.16 × 64,697.85
  4. Step 4: Simplify right side
    114,642.45x = 11,115,618,240.97
  5. Step 5: Solve for x
    x = 11,115,618,240.97/114,642.45
  6. Step 6: Final answer
    x = 96,959.01

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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.