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Finding the Fourth Proportional to 196,293.96, 294,499.92 and 61,352.58

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Solution

The fourth proportional to 196,293.96, 294,499.92 and 61,352.58 is: 92,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,293.96 : 294,499.92 = 61,352.58 : x
  2. Step 2: Convert to fraction form
    196,293.96/294,499.92 = 61,352.58/x
  3. Step 3: Cross multiply
    196,293.96x = 294,499.92 × 61,352.58
  4. Step 4: Simplify right side
    196,293.96x = 18,068,329,901.79
  5. Step 5: Solve for x
    x = 18,068,329,901.79/196,293.96
  6. Step 6: Final answer
    x = 92,047.30

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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.