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Finding the Fourth Proportional to 125,347, 188,030.22 and 42,241

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Solution

The fourth proportional to 125,347, 188,030.22 and 42,241 is: 63,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,347 : 188,030.22 = 42,241 : x
  2. Step 2: Convert to fraction form
    125,347/188,030.22 = 42,241/x
  3. Step 3: Cross multiply
    125,347x = 188,030.22 × 42,241
  4. Step 4: Simplify right side
    125,347x = 7,942,584,523.02
  5. Step 5: Solve for x
    x = 7,942,584,523.02/125,347
  6. Step 6: Final answer
    x = 63,364.78

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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.