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Finding the Fourth Proportional to 96,163.20, 144,244.80 and 83,203.20

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Solution

The fourth proportional to 96,163.20, 144,244.80 and 83,203.20 is: 124,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,163.20 : 144,244.80 = 83,203.20 : x
  2. Step 2: Convert to fraction form
    96,163.20/144,244.80 = 83,203.20/x
  3. Step 3: Cross multiply
    96,163.20x = 144,244.80 × 83,203.20
  4. Step 4: Simplify right side
    96,163.20x = 12,001,628,943.36
  5. Step 5: Solve for x
    x = 12,001,628,943.36/96,163.20
  6. Step 6: Final answer
    x = 124,804.80

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1.5x scale

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.