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Finding the Fourth Proportional to 284,095.89, 426,033.09 and 106,506

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Solution

The fourth proportional to 284,095.89, 426,033.09 and 106,506 is: 159,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,095.89 : 426,033.09 = 106,506 : x
  2. Step 2: Convert to fraction form
    284,095.89/426,033.09 = 106,506/x
  3. Step 3: Cross multiply
    284,095.89x = 426,033.09 × 106,506
  4. Step 4: Simplify right side
    284,095.89x = 45,375,080,283.54
  5. Step 5: Solve for x
    x = 45,375,080,283.54/284,095.89
  6. Step 6: Final answer
    x = 159,717.48

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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.