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Finding the Fourth Proportional to 101,229.84, 151,712.64 and 73,244.16

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Solution

The fourth proportional to 101,229.84, 151,712.64 and 73,244.16 is: 109,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,229.84 : 151,712.64 = 73,244.16 : x
  2. Step 2: Convert to fraction form
    101,229.84/151,712.64 = 73,244.16/x
  3. Step 3: Cross multiply
    101,229.84x = 151,712.64 × 73,244.16
  4. Step 4: Simplify right side
    101,229.84x = 11,112,064,878.18
  5. Step 5: Solve for x
    x = 11,112,064,878.18/101,229.84
  6. Step 6: Final answer
    x = 109,770.65

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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.