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Finding the Fourth Proportional to 194,141.70, 291,212.55 and 185,673.15

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Solution

The fourth proportional to 194,141.70, 291,212.55 and 185,673.15 is: 278,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,141.70 : 291,212.55 = 185,673.15 : x
  2. Step 2: Convert to fraction form
    194,141.70/291,212.55 = 185,673.15/x
  3. Step 3: Cross multiply
    194,141.70x = 291,212.55 × 185,673.15
  4. Step 4: Simplify right side
    194,141.70x = 54,070,351,478.03
  5. Step 5: Solve for x
    x = 54,070,351,478.03/194,141.70
  6. Step 6: Final answer
    x = 278,509.73

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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.