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Finding the Fourth Proportional to 194,953.67, 291,765.17 and 163,399.35

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Solution

The fourth proportional to 194,953.67, 291,765.17 and 163,399.35 is: 244,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,953.67 : 291,765.17 = 163,399.35 : x
  2. Step 2: Convert to fraction form
    194,953.67/291,765.17 = 163,399.35/x
  3. Step 3: Cross multiply
    194,953.67x = 291,765.17 × 163,399.35
  4. Step 4: Simplify right side
    194,953.67x = 47,674,238,313.64
  5. Step 5: Solve for x
    x = 47,674,238,313.64/194,953.67
  6. Step 6: Final answer
    x = 244,541.38

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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.