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Finding the Fourth Proportional to 188,378.46, 282,579.84 and 83,197.13

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Solution

The fourth proportional to 188,378.46, 282,579.84 and 83,197.13 is: 124,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,378.46 : 282,579.84 = 83,197.13 : x
  2. Step 2: Convert to fraction form
    188,378.46/282,579.84 = 83,197.13/x
  3. Step 3: Cross multiply
    188,378.46x = 282,579.84 × 83,197.13
  4. Step 4: Simplify right side
    188,378.46x = 23,509,830,270.96
  5. Step 5: Solve for x
    x = 23,509,830,270.96/188,378.46
  6. Step 6: Final answer
    x = 124,801.05

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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.