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Finding the Fourth Proportional to 194,854.59, 292,290.39 and 61,744.67

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Solution

The fourth proportional to 194,854.59, 292,290.39 and 61,744.67 is: 92,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,854.59 : 292,290.39 = 61,744.67 : x
  2. Step 2: Convert to fraction form
    194,854.59/292,290.39 = 61,744.67/x
  3. Step 3: Cross multiply
    194,854.59x = 292,290.39 × 61,744.67
  4. Step 4: Simplify right side
    194,854.59x = 18,047,372,213.27
  5. Step 5: Solve for x
    x = 18,047,372,213.27/194,854.59
  6. Step 6: Final answer
    x = 92,619.69

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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.