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Finding the Fourth Proportional to 183,814.61, 275,738.94 and 71,503.38

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Solution

The fourth proportional to 183,814.61, 275,738.94 and 71,503.38 is: 107,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,814.61 : 275,738.94 = 71,503.38 : x
  2. Step 2: Convert to fraction form
    183,814.61/275,738.94 = 71,503.38/x
  3. Step 3: Cross multiply
    183,814.61x = 275,738.94 × 71,503.38
  4. Step 4: Simplify right side
    183,814.61x = 19,716,266,207.62
  5. Step 5: Solve for x
    x = 19,716,266,207.62/183,814.61
  6. Step 6: Final answer
    x = 107,261.70

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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.