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Finding the Fourth Proportional to 196,138.60, 294,246.30 and 83,818.60

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Solution

The fourth proportional to 196,138.60, 294,246.30 and 83,818.60 is: 125,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,138.60 : 294,246.30 = 83,818.60 : x
  2. Step 2: Convert to fraction form
    196,138.60/294,246.30 = 83,818.60/x
  3. Step 3: Cross multiply
    196,138.60x = 294,246.30 × 83,818.60
  4. Step 4: Simplify right side
    196,138.60x = 24,663,312,921.18
  5. Step 5: Solve for x
    x = 24,663,312,921.18/196,138.60
  6. Step 6: Final answer
    x = 125,744.31

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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.