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Finding the Fourth Proportional to 194,808.40, 292,212.60 and 106,234.90

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Solution

The fourth proportional to 194,808.40, 292,212.60 and 106,234.90 is: 159,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808.40 : 292,212.60 = 106,234.90 : x
  2. Step 2: Convert to fraction form
    194,808.40/292,212.60 = 106,234.90/x
  3. Step 3: Cross multiply
    194,808.40x = 292,212.60 × 106,234.90
  4. Step 4: Simplify right side
    194,808.40x = 31,043,176,339.74
  5. Step 5: Solve for x
    x = 31,043,176,339.74/194,808.40
  6. Step 6: Final answer
    x = 159,352.35

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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.