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Finding the Fourth Proportional to 355,881.96, 491,095.92 and 194,704.92

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Solution

The fourth proportional to 355,881.96, 491,095.92 and 194,704.92 is: 268,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,881.96 : 491,095.92 = 194,704.92 : x
  2. Step 2: Convert to fraction form
    355,881.96/491,095.92 = 194,704.92/x
  3. Step 3: Cross multiply
    355,881.96x = 491,095.92 × 194,704.92
  4. Step 4: Simplify right side
    355,881.96x = 95,618,791,815.93
  5. Step 5: Solve for x
    x = 95,618,791,815.93/355,881.96
  6. Step 6: Final answer
    x = 268,681.20

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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.