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Finding the Fourth Proportional to 106,801.40, 160,218.71 and 35,702.03

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Solution

The fourth proportional to 106,801.40, 160,218.71 and 35,702.03 is: 53,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,801.40 : 160,218.71 = 35,702.03 : x
  2. Step 2: Convert to fraction form
    106,801.40/160,218.71 = 35,702.03/x
  3. Step 3: Cross multiply
    106,801.40x = 160,218.71 × 35,702.03
  4. Step 4: Simplify right side
    106,801.40x = 5,720,132,211.38
  5. Step 5: Solve for x
    x = 5,720,132,211.38/106,801.40
  6. Step 6: Final answer
    x = 53,558.59

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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.