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Finding the Fourth Proportional to 284,181.92, 426,262.80 and 70,951.04

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Solution

The fourth proportional to 284,181.92, 426,262.80 and 70,951.04 is: 106,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,181.92 : 426,262.80 = 70,951.04 : x
  2. Step 2: Convert to fraction form
    284,181.92/426,262.80 = 70,951.04/x
  3. Step 3: Cross multiply
    284,181.92x = 426,262.80 × 70,951.04
  4. Step 4: Simplify right side
    284,181.92x = 30,243,788,973.31
  5. Step 5: Solve for x
    x = 30,243,788,973.31/284,181.92
  6. Step 6: Final answer
    x = 106,424.04

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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.