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Finding the Fourth Proportional to 196,329.60, 294,931.80 and 188,359.20

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Solution

The fourth proportional to 196,329.60, 294,931.80 and 188,359.20 is: 282,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,329.60 : 294,931.80 = 188,359.20 : x
  2. Step 2: Convert to fraction form
    196,329.60/294,931.80 = 188,359.20/x
  3. Step 3: Cross multiply
    196,329.60x = 294,931.80 × 188,359.20
  4. Step 4: Simplify right side
    196,329.60x = 55,553,117,902.56
  5. Step 5: Solve for x
    x = 55,553,117,902.56/196,329.60
  6. Step 6: Final answer
    x = 282,958.44

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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.