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Finding the Fourth Proportional to 101,960.22, 140,727.59 and 56,653.77

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Solution

The fourth proportional to 101,960.22, 140,727.59 and 56,653.77 is: 78,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960.22 : 140,727.59 = 56,653.77 : x
  2. Step 2: Convert to fraction form
    101,960.22/140,727.59 = 56,653.77/x
  3. Step 3: Cross multiply
    101,960.22x = 140,727.59 × 56,653.77
  4. Step 4: Simplify right side
    101,960.22x = 7,972,748,516.51
  5. Step 5: Solve for x
    x = 7,972,748,516.51/101,960.22
  6. Step 6: Final answer
    x = 78,194.70

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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.