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Finding the Fourth Proportional to 125,762.82, 188,604.19 and 41,507.29

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Solution

The fourth proportional to 125,762.82, 188,604.19 and 41,507.29 is: 62,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,762.82 : 188,604.19 = 41,507.29 : x
  2. Step 2: Convert to fraction form
    125,762.82/188,604.19 = 41,507.29/x
  3. Step 3: Cross multiply
    125,762.82x = 188,604.19 × 41,507.29
  4. Step 4: Simplify right side
    125,762.82x = 7,828,448,809.55
  5. Step 5: Solve for x
    x = 7,828,448,809.55/125,762.82
  6. Step 6: Final answer
    x = 62,247.72

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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.