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Finding the Fourth Proportional to 141,156.36, 194,796.36 and 77,495.22

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Solution

The fourth proportional to 141,156.36, 194,796.36 and 77,495.22 is: 106,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,156.36 : 194,796.36 = 77,495.22 : x
  2. Step 2: Convert to fraction form
    141,156.36/194,796.36 = 77,495.22/x
  3. Step 3: Cross multiply
    141,156.36x = 194,796.36 × 77,495.22
  4. Step 4: Simplify right side
    141,156.36x = 15,095,786,773.40
  5. Step 5: Solve for x
    x = 15,095,786,773.40/141,156.36
  6. Step 6: Final answer
    x = 106,943.72

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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.