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Finding the Fourth Proportional to 189,007.20, 283,575.60 and 83,901.60

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Solution

The fourth proportional to 189,007.20, 283,575.60 and 83,901.60 is: 125,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,007.20 : 283,575.60 = 83,901.60 : x
  2. Step 2: Convert to fraction form
    189,007.20/283,575.60 = 83,901.60/x
  3. Step 3: Cross multiply
    189,007.20x = 283,575.60 × 83,901.60
  4. Step 4: Simplify right side
    189,007.20x = 23,792,446,560.96
  5. Step 5: Solve for x
    x = 23,792,446,560.96/189,007.20
  6. Step 6: Final answer
    x = 125,881.17

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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.