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Finding the Fourth Proportional to 227,946.92, 342,011.52 and 94,919

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Solution

The fourth proportional to 227,946.92, 342,011.52 and 94,919 is: 142,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,946.92 : 342,011.52 = 94,919 : x
  2. Step 2: Convert to fraction form
    227,946.92/342,011.52 = 94,919/x
  3. Step 3: Cross multiply
    227,946.92x = 342,011.52 × 94,919
  4. Step 4: Simplify right side
    227,946.92x = 32,463,391,466.88
  5. Step 5: Solve for x
    x = 32,463,391,466.88/227,946.92
  6. Step 6: Final answer
    x = 142,416.45

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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.