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Finding the Fourth Proportional to 141,083.17, 194,687.01 and 77,415.95

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Solution

The fourth proportional to 141,083.17, 194,687.01 and 77,415.95 is: 106,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,083.17 : 194,687.01 = 77,415.95 : x
  2. Step 2: Convert to fraction form
    141,083.17/194,687.01 = 77,415.95/x
  3. Step 3: Cross multiply
    141,083.17x = 194,687.01 × 77,415.95
  4. Step 4: Simplify right side
    141,083.17x = 15,071,880,318.53
  5. Step 5: Solve for x
    x = 15,071,880,318.53/141,083.17
  6. Step 6: Final answer
    x = 106,829.76

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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.