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Finding the Fourth Proportional to 101,206.16, 151,702.32 and 33,719.93

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Solution

The fourth proportional to 101,206.16, 151,702.32 and 33,719.93 is: 50,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206.16 : 151,702.32 = 33,719.93 : x
  2. Step 2: Convert to fraction form
    101,206.16/151,702.32 = 33,719.93/x
  3. Step 3: Cross multiply
    101,206.16x = 151,702.32 × 33,719.93
  4. Step 4: Simplify right side
    101,206.16x = 5,115,391,611.24
  5. Step 5: Solve for x
    x = 5,115,391,611.24/101,206.16
  6. Step 6: Final answer
    x = 50,544.27

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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.