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Finding the Fourth Proportional to 140,613.66, 194,052.63 and 76,957.02

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Solution

The fourth proportional to 140,613.66, 194,052.63 and 76,957.02 is: 106,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,613.66 : 194,052.63 = 76,957.02 : x
  2. Step 2: Convert to fraction form
    140,613.66/194,052.63 = 76,957.02/x
  3. Step 3: Cross multiply
    140,613.66x = 194,052.63 × 76,957.02
  4. Step 4: Simplify right side
    140,613.66x = 14,933,712,127.96
  5. Step 5: Solve for x
    x = 14,933,712,127.96/140,613.66
  6. Step 6: Final answer
    x = 106,203.85

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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.