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Finding the Fourth Proportional to 101,902.84, 152,655.42 and 66,735.88

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Solution

The fourth proportional to 101,902.84, 152,655.42 and 66,735.88 is: 99,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,902.84 : 152,655.42 = 66,735.88 : x
  2. Step 2: Convert to fraction form
    101,902.84/152,655.42 = 66,735.88/x
  3. Step 3: Cross multiply
    101,902.84x = 152,655.42 × 66,735.88
  4. Step 4: Simplify right side
    101,902.84x = 10,187,593,790.47
  5. Step 5: Solve for x
    x = 10,187,593,790.47/101,902.84
  6. Step 6: Final answer
    x = 99,973.60

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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.