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Finding the Fourth Proportional to 125,768.90, 188,671.88 and 41,537.81

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Solution

The fourth proportional to 125,768.90, 188,671.88 and 41,537.81 is: 62,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,768.90 : 188,671.88 = 41,537.81 : x
  2. Step 2: Convert to fraction form
    125,768.90/188,671.88 = 41,537.81/x
  3. Step 3: Cross multiply
    125,768.90x = 188,671.88 × 41,537.81
  4. Step 4: Simplify right side
    125,768.90x = 7,837,017,279.31
  5. Step 5: Solve for x
    x = 7,837,017,279.31/125,768.90
  6. Step 6: Final answer
    x = 62,312.84

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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.