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Finding the Fourth Proportional to 142,090.98, 196,085.74 and 78,428.78

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Solution

The fourth proportional to 142,090.98, 196,085.74 and 78,428.78 is: 108,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,090.98 : 196,085.74 = 78,428.78 : x
  2. Step 2: Convert to fraction form
    142,090.98/196,085.74 = 78,428.78/x
  3. Step 3: Cross multiply
    142,090.98x = 196,085.74 × 78,428.78
  4. Step 4: Simplify right side
    142,090.98x = 15,378,765,400.38
  5. Step 5: Solve for x
    x = 15,378,765,400.38/142,090.98
  6. Step 6: Final answer
    x = 108,231.82

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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.