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Finding the Fourth Proportional to 125,653.68, 188,503.88 and 41,419.74

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Solution

The fourth proportional to 125,653.68, 188,503.88 and 41,419.74 is: 62,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,653.68 : 188,503.88 = 41,419.74 : x
  2. Step 2: Convert to fraction form
    125,653.68/188,503.88 = 41,419.74/x
  3. Step 3: Cross multiply
    125,653.68x = 188,503.88 × 41,419.74
  4. Step 4: Simplify right side
    125,653.68x = 7,807,782,198.38
  5. Step 5: Solve for x
    x = 7,807,782,198.38/125,653.68
  6. Step 6: Final answer
    x = 62,137.31

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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.