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Finding the Fourth Proportional to 196,666.60, 294,827.10 and 117,812.20

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Solution

The fourth proportional to 196,666.60, 294,827.10 and 117,812.20 is: 176,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,666.60 : 294,827.10 = 117,812.20 : x
  2. Step 2: Convert to fraction form
    196,666.60/294,827.10 = 117,812.20/x
  3. Step 3: Cross multiply
    196,666.60x = 294,827.10 × 117,812.20
  4. Step 4: Simplify right side
    196,666.60x = 34,734,229,270.62
  5. Step 5: Solve for x
    x = 34,734,229,270.62/196,666.60
  6. Step 6: Final answer
    x = 176,614.78

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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.