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Finding the Fourth Proportional to 189,812.40, 284,200.20 and 136,935.60

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Solution

The fourth proportional to 189,812.40, 284,200.20 and 136,935.60 is: 205,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,812.40 : 284,200.20 = 136,935.60 : x
  2. Step 2: Convert to fraction form
    189,812.40/284,200.20 = 136,935.60/x
  3. Step 3: Cross multiply
    189,812.40x = 284,200.20 × 136,935.60
  4. Step 4: Simplify right side
    189,812.40x = 38,917,124,907.12
  5. Step 5: Solve for x
    x = 38,917,124,907.12/189,812.40
  6. Step 6: Final answer
    x = 205,029.41

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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.