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Finding the Fourth Proportional to 141,127.78, 194,758.54 and 77,471.38

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Solution

The fourth proportional to 141,127.78, 194,758.54 and 77,471.38 is: 106,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,127.78 : 194,758.54 = 77,471.38 : x
  2. Step 2: Convert to fraction form
    141,127.78/194,758.54 = 77,471.38/x
  3. Step 3: Cross multiply
    141,127.78x = 194,758.54 × 77,471.38
  4. Step 4: Simplify right side
    141,127.78x = 15,088,211,886.79
  5. Step 5: Solve for x
    x = 15,088,211,886.79/141,127.78
  6. Step 6: Final answer
    x = 106,911.71

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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.