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Finding the Fourth Proportional to 292,147.54, 437,956.82 and 114,606.88

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Solution

The fourth proportional to 292,147.54, 437,956.82 and 114,606.88 is: 171,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,147.54 : 437,956.82 = 114,606.88 : x
  2. Step 2: Convert to fraction form
    292,147.54/437,956.82 = 114,606.88/x
  3. Step 3: Cross multiply
    292,147.54x = 437,956.82 × 114,606.88
  4. Step 4: Simplify right side
    292,147.54x = 50,192,863,476.77
  5. Step 5: Solve for x
    x = 50,192,863,476.77/292,147.54
  6. Step 6: Final answer
    x = 171,806.56

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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.