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Finding the Fourth Proportional to 106,953.78, 160,721.46 and 57,069.12

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Solution

The fourth proportional to 106,953.78, 160,721.46 and 57,069.12 is: 85,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.78 : 160,721.46 = 57,069.12 : x
  2. Step 2: Convert to fraction form
    106,953.78/160,721.46 = 57,069.12/x
  3. Step 3: Cross multiply
    106,953.78x = 160,721.46 × 57,069.12
  4. Step 4: Simplify right side
    106,953.78x = 9,172,232,287.32
  5. Step 5: Solve for x
    x = 9,172,232,287.32/106,953.78
  6. Step 6: Final answer
    x = 85,758.84

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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.