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Finding the Fourth Proportional to 101,469.50, 152,205.27 and 45,312.47

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Solution

The fourth proportional to 101,469.50, 152,205.27 and 45,312.47 is: 67,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,469.50 : 152,205.27 = 45,312.47 : x
  2. Step 2: Convert to fraction form
    101,469.50/152,205.27 = 45,312.47/x
  3. Step 3: Cross multiply
    101,469.50x = 152,205.27 × 45,312.47
  4. Step 4: Simplify right side
    101,469.50x = 6,896,795,969.69
  5. Step 5: Solve for x
    x = 6,896,795,969.69/101,469.50
  6. Step 6: Final answer
    x = 67,969.16

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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.