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Finding the Fourth Proportional to 141,188.82, 194,843.72 and 77,526.87

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Solution

The fourth proportional to 141,188.82, 194,843.72 and 77,526.87 is: 106,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,188.82 : 194,843.72 = 77,526.87 : x
  2. Step 2: Convert to fraction form
    141,188.82/194,843.72 = 77,526.87/x
  3. Step 3: Cross multiply
    141,188.82x = 194,843.72 × 77,526.87
  4. Step 4: Simplify right side
    141,188.82x = 15,105,623,750.76
  5. Step 5: Solve for x
    x = 15,105,623,750.76/141,188.82
  6. Step 6: Final answer
    x = 106,988.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.