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Finding the Fourth Proportional to 196,142.60, 294,252.30 and 83,822.60

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Solution

The fourth proportional to 196,142.60, 294,252.30 and 83,822.60 is: 125,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,142.60 : 294,252.30 = 83,822.60 : x
  2. Step 2: Convert to fraction form
    196,142.60/294,252.30 = 83,822.60/x
  3. Step 3: Cross multiply
    196,142.60x = 294,252.30 × 83,822.60
  4. Step 4: Simplify right side
    196,142.60x = 24,664,992,841.98
  5. Step 5: Solve for x
    x = 24,664,992,841.98/196,142.60
  6. Step 6: Final answer
    x = 125,750.31

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1.5x scale

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.