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Finding the Fourth Proportional to 101,668.14, 140,302.02 and 56,956.14

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Solution

The fourth proportional to 101,668.14, 140,302.02 and 56,956.14 is: 78,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,668.14 : 140,302.02 = 56,956.14 : x
  2. Step 2: Convert to fraction form
    101,668.14/140,302.02 = 56,956.14/x
  3. Step 3: Cross multiply
    101,668.14x = 140,302.02 × 56,956.14
  4. Step 4: Simplify right side
    101,668.14x = 7,991,061,493.40
  5. Step 5: Solve for x
    x = 7,991,061,493.40/101,668.14
  6. Step 6: Final answer
    x = 78,599.47

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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.