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Finding the Fourth Proportional to 282,996.48, 424,586.88 and 135,264

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Solution

The fourth proportional to 282,996.48, 424,586.88 and 135,264 is: 202,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,996.48 : 424,586.88 = 135,264 : x
  2. Step 2: Convert to fraction form
    282,996.48/424,586.88 = 135,264/x
  3. Step 3: Cross multiply
    282,996.48x = 424,586.88 × 135,264
  4. Step 4: Simplify right side
    282,996.48x = 57,431,319,736.32
  5. Step 5: Solve for x
    x = 57,431,319,736.32/282,996.48
  6. Step 6: Final answer
    x = 202,940.05

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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.