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Finding the Fourth Proportional to 141,855.16, 195,758.82 and 77,324.38

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Solution

The fourth proportional to 141,855.16, 195,758.82 and 77,324.38 is: 106,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,855.16 : 195,758.82 = 77,324.38 : x
  2. Step 2: Convert to fraction form
    141,855.16/195,758.82 = 77,324.38/x
  3. Step 3: Cross multiply
    141,855.16x = 195,758.82 × 77,324.38
  4. Step 4: Simplify right side
    141,855.16x = 15,136,929,386.03
  5. Step 5: Solve for x
    x = 15,136,929,386.03/141,855.16
  6. Step 6: Final answer
    x = 106,706.94

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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.