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Finding the Fourth Proportional to 194,754.56, 292,131.84 and 47,010.56

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Solution

The fourth proportional to 194,754.56, 292,131.84 and 47,010.56 is: 70,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,754.56 : 292,131.84 = 47,010.56 : x
  2. Step 2: Convert to fraction form
    194,754.56/292,131.84 = 47,010.56/x
  3. Step 3: Cross multiply
    194,754.56x = 292,131.84 × 47,010.56
  4. Step 4: Simplify right side
    194,754.56x = 13,733,279,931.57
  5. Step 5: Solve for x
    x = 13,733,279,931.57/194,754.56
  6. Step 6: Final answer
    x = 70,515.83

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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.