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Finding the Fourth Proportional to 194,615.60, 291,923.40 and 165,091.10

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Solution

The fourth proportional to 194,615.60, 291,923.40 and 165,091.10 is: 247,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615.60 : 291,923.40 = 165,091.10 : x
  2. Step 2: Convert to fraction form
    194,615.60/291,923.40 = 165,091.10/x
  3. Step 3: Cross multiply
    194,615.60x = 291,923.40 × 165,091.10
  4. Step 4: Simplify right side
    194,615.60x = 48,193,955,221.74
  5. Step 5: Solve for x
    x = 48,193,955,221.74/194,615.60
  6. Step 6: Final answer
    x = 247,636.65

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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.