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Finding the Fourth Proportional to 101,516.88, 140,084.61 and 56,194.98

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Solution

The fourth proportional to 101,516.88, 140,084.61 and 56,194.98 is: 77,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516.88 : 140,084.61 = 56,194.98 : x
  2. Step 2: Convert to fraction form
    101,516.88/140,084.61 = 56,194.98/x
  3. Step 3: Cross multiply
    101,516.88x = 140,084.61 × 56,194.98
  4. Step 4: Simplify right side
    101,516.88x = 7,872,051,857.26
  5. Step 5: Solve for x
    x = 7,872,051,857.26/101,516.88
  6. Step 6: Final answer
    x = 77,544.27

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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.