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Finding the Fourth Proportional to 188,844.64, 283,332.54 and 83,737.36

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Solution

The fourth proportional to 188,844.64, 283,332.54 and 83,737.36 is: 125,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,844.64 : 283,332.54 = 83,737.36 : x
  2. Step 2: Convert to fraction form
    188,844.64/283,332.54 = 83,737.36/x
  3. Step 3: Cross multiply
    188,844.64x = 283,332.54 × 83,737.36
  4. Step 4: Simplify right side
    188,844.64x = 23,725,518,901.69
  5. Step 5: Solve for x
    x = 23,725,518,901.69/188,844.64
  6. Step 6: Final answer
    x = 125,635.12

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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.