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Finding the Fourth Proportional to 125,468.34, 188,251.47 and 55,298.22

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Solution

The fourth proportional to 125,468.34, 188,251.47 and 55,298.22 is: 82,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,468.34 : 188,251.47 = 55,298.22 : x
  2. Step 2: Convert to fraction form
    125,468.34/188,251.47 = 55,298.22/x
  3. Step 3: Cross multiply
    125,468.34x = 188,251.47 × 55,298.22
  4. Step 4: Simplify right side
    125,468.34x = 10,409,971,203.38
  5. Step 5: Solve for x
    x = 10,409,971,203.38/125,468.34
  6. Step 6: Final answer
    x = 82,968.91

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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.