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Finding the Fourth Proportional to 196,166.76, 294,123.51 and 83,920.20

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Solution

The fourth proportional to 196,166.76, 294,123.51 and 83,920.20 is: 125,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,166.76 : 294,123.51 = 83,920.20 : x
  2. Step 2: Convert to fraction form
    196,166.76/294,123.51 = 83,920.20/x
  3. Step 3: Cross multiply
    196,166.76x = 294,123.51 × 83,920.20
  4. Step 4: Simplify right side
    196,166.76x = 24,682,903,783.90
  5. Step 5: Solve for x
    x = 24,682,903,783.90/196,166.76
  6. Step 6: Final answer
    x = 125,826.13

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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.