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Finding the Fourth Proportional to 194,804.60, 292,206.90 and 110,823.80

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Solution

The fourth proportional to 194,804.60, 292,206.90 and 110,823.80 is: 166,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,804.60 : 292,206.90 = 110,823.80 : x
  2. Step 2: Convert to fraction form
    194,804.60/292,206.90 = 110,823.80/x
  3. Step 3: Cross multiply
    194,804.60x = 292,206.90 × 110,823.80
  4. Step 4: Simplify right side
    194,804.60x = 32,383,479,044.22
  5. Step 5: Solve for x
    x = 32,383,479,044.22/194,804.60
  6. Step 6: Final answer
    x = 166,235.70

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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.