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Finding the Fourth Proportional to 125,350.64, 188,083.40 and 54,295

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Solution

The fourth proportional to 125,350.64, 188,083.40 and 54,295 is: 81,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,350.64 : 188,083.40 = 54,295 : x
  2. Step 2: Convert to fraction form
    125,350.64/188,083.40 = 54,295/x
  3. Step 3: Cross multiply
    125,350.64x = 188,083.40 × 54,295
  4. Step 4: Simplify right side
    125,350.64x = 10,211,988,203
  5. Step 5: Solve for x
    x = 10,211,988,203/125,350.64
  6. Step 6: Final answer
    x = 81,467.38

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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.