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Finding the Fourth Proportional to 140,770.56, 211,006.80 and 65,827.74

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Solution

The fourth proportional to 140,770.56, 211,006.80 and 65,827.74 is: 98,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,770.56 : 211,006.80 = 65,827.74 : x
  2. Step 2: Convert to fraction form
    140,770.56/211,006.80 = 65,827.74/x
  3. Step 3: Cross multiply
    140,770.56x = 211,006.80 × 65,827.74
  4. Step 4: Simplify right side
    140,770.56x = 13,890,100,768.63
  5. Step 5: Solve for x
    x = 13,890,100,768.63/140,770.56
  6. Step 6: Final answer
    x = 98,671.92

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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.