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Finding the Fourth Proportional to 101,185.84, 151,780.82 and 34,702.39

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Solution

The fourth proportional to 101,185.84, 151,780.82 and 34,702.39 is: 52,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,185.84 : 151,780.82 = 34,702.39 : x
  2. Step 2: Convert to fraction form
    101,185.84/151,780.82 = 34,702.39/x
  3. Step 3: Cross multiply
    101,185.84x = 151,780.82 × 34,702.39
  4. Step 4: Simplify right side
    101,185.84x = 5,267,157,210.16
  5. Step 5: Solve for x
    x = 5,267,157,210.16/101,185.84
  6. Step 6: Final answer
    x = 52,054.29

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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.