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Finding the Fourth Proportional to 106,999.52, 160,523.60 and 57,053.28

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Solution

The fourth proportional to 106,999.52, 160,523.60 and 57,053.28 is: 85,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,999.52 : 160,523.60 = 57,053.28 : x
  2. Step 2: Convert to fraction form
    106,999.52/160,523.60 = 57,053.28/x
  3. Step 3: Cross multiply
    106,999.52x = 160,523.60 × 57,053.28
  4. Step 4: Simplify right side
    106,999.52x = 9,158,397,897.41
  5. Step 5: Solve for x
    x = 9,158,397,897.41/106,999.52
  6. Step 6: Final answer
    x = 85,592.89

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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.