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Finding the Fourth Proportional to 282,841.29, 424,150.74 and 102,884

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Solution

The fourth proportional to 282,841.29, 424,150.74 and 102,884 is: 154,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,841.29 : 424,150.74 = 102,884 : x
  2. Step 2: Convert to fraction form
    282,841.29/424,150.74 = 102,884/x
  3. Step 3: Cross multiply
    282,841.29x = 424,150.74 × 102,884
  4. Step 4: Simplify right side
    282,841.29x = 43,638,324,734.16
  5. Step 5: Solve for x
    x = 43,638,324,734.16/282,841.29
  6. Step 6: Final answer
    x = 154,285.55

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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.