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Finding the Fourth Proportional to 282,755.49, 424,043.24 and 93,180.53

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Solution

The fourth proportional to 282,755.49, 424,043.24 and 93,180.53 is: 139,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,755.49 : 424,043.24 = 93,180.53 : x
  2. Step 2: Convert to fraction form
    282,755.49/424,043.24 = 93,180.53/x
  3. Step 3: Cross multiply
    282,755.49x = 424,043.24 × 93,180.53
  4. Step 4: Simplify right side
    282,755.49x = 39,512,571,260.00
  5. Step 5: Solve for x
    x = 39,512,571,260.00/282,755.49
  6. Step 6: Final answer
    x = 139,741.13

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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.