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Finding the Fourth Proportional to 102,496.80, 153,745.20 and 47,200.80

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Solution

The fourth proportional to 102,496.80, 153,745.20 and 47,200.80 is: 70,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,496.80 : 153,745.20 = 47,200.80 : x
  2. Step 2: Convert to fraction form
    102,496.80/153,745.20 = 47,200.80/x
  3. Step 3: Cross multiply
    102,496.80x = 153,745.20 × 47,200.80
  4. Step 4: Simplify right side
    102,496.80x = 7,256,896,436.16
  5. Step 5: Solve for x
    x = 7,256,896,436.16/102,496.80
  6. Step 6: Final answer
    x = 70,801.20

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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.