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Finding the Fourth Proportional to 125,694.34, 188,501.47 and 41,438.79

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Solution

The fourth proportional to 125,694.34, 188,501.47 and 41,438.79 is: 62,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,694.34 : 188,501.47 = 41,438.79 : x
  2. Step 2: Convert to fraction form
    125,694.34/188,501.47 = 41,438.79/x
  3. Step 3: Cross multiply
    125,694.34x = 188,501.47 × 41,438.79
  4. Step 4: Simplify right side
    125,694.34x = 7,811,272,830.02
  5. Step 5: Solve for x
    x = 7,811,272,830.02/125,694.34
  6. Step 6: Final answer
    x = 62,144.98

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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.