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Finding the Fourth Proportional to 194,003.80, 291,224.40 and 149,826.40

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Solution

The fourth proportional to 194,003.80, 291,224.40 and 149,826.40 is: 224,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,003.80 : 291,224.40 = 149,826.40 : x
  2. Step 2: Convert to fraction form
    194,003.80/291,224.40 = 149,826.40/x
  3. Step 3: Cross multiply
    194,003.80x = 291,224.40 × 149,826.40
  4. Step 4: Simplify right side
    194,003.80x = 43,633,103,444.16
  5. Step 5: Solve for x
    x = 43,633,103,444.16/194,003.80
  6. Step 6: Final answer
    x = 224,908.50

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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.