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Finding the Fourth Proportional to 140,855.76, 211,233.42 and 65,963.16

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Solution

The fourth proportional to 140,855.76, 211,233.42 and 65,963.16 is: 98,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,855.76 : 211,233.42 = 65,963.16 : x
  2. Step 2: Convert to fraction form
    140,855.76/211,233.42 = 65,963.16/x
  3. Step 3: Cross multiply
    140,855.76x = 211,233.42 × 65,963.16
  4. Step 4: Simplify right side
    140,855.76x = 13,933,623,880.81
  5. Step 5: Solve for x
    x = 13,933,623,880.81/140,855.76
  6. Step 6: Final answer
    x = 98,921.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.