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Finding the Fourth Proportional to 96,579.20, 144,868.80 and 83,619.20

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Solution

The fourth proportional to 96,579.20, 144,868.80 and 83,619.20 is: 125,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,579.20 : 144,868.80 = 83,619.20 : x
  2. Step 2: Convert to fraction form
    96,579.20/144,868.80 = 83,619.20/x
  3. Step 3: Cross multiply
    96,579.20x = 144,868.80 × 83,619.20
  4. Step 4: Simplify right side
    96,579.20x = 12,113,813,160.96
  5. Step 5: Solve for x
    x = 12,113,813,160.96/96,579.20
  6. Step 6: Final answer
    x = 125,428.80

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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.