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Finding the Fourth Proportional to 192,472.44, 265,588.80 and 106,419.72

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Solution

The fourth proportional to 192,472.44, 265,588.80 and 106,419.72 is: 146,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,472.44 : 265,588.80 = 106,419.72 : x
  2. Step 2: Convert to fraction form
    192,472.44/265,588.80 = 106,419.72/x
  3. Step 3: Cross multiply
    192,472.44x = 265,588.80 × 106,419.72
  4. Step 4: Simplify right side
    192,472.44x = 28,263,885,731.14
  5. Step 5: Solve for x
    x = 28,263,885,731.14/192,472.44
  6. Step 6: Final answer
    x = 146,846.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.