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Finding the Fourth Proportional to 142,462.58, 213,694.16 and 97,954.70

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Solution

The fourth proportional to 142,462.58, 213,694.16 and 97,954.70 is: 146,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,462.58 : 213,694.16 = 97,954.70 : x
  2. Step 2: Convert to fraction form
    142,462.58/213,694.16 = 97,954.70/x
  3. Step 3: Cross multiply
    142,462.58x = 213,694.16 × 97,954.70
  4. Step 4: Simplify right side
    142,462.58x = 20,932,347,334.55
  5. Step 5: Solve for x
    x = 20,932,347,334.55/142,462.58
  6. Step 6: Final answer
    x = 146,932.25

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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.