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Finding the Fourth Proportional to 196,461.57, 294,694.42 and 157,267.83

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Solution

The fourth proportional to 196,461.57, 294,694.42 and 157,267.83 is: 235,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,461.57 : 294,694.42 = 157,267.83 : x
  2. Step 2: Convert to fraction form
    196,461.57/294,694.42 = 157,267.83/x
  3. Step 3: Cross multiply
    196,461.57x = 294,694.42 × 157,267.83
  4. Step 4: Simplify right side
    196,461.57x = 46,345,951,946.51
  5. Step 5: Solve for x
    x = 46,345,951,946.51/196,461.57
  6. Step 6: Final answer
    x = 235,903.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.