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Finding the Fourth Proportional to 282,877.25, 424,256.11 and 83,143.31

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Solution

The fourth proportional to 282,877.25, 424,256.11 and 83,143.31 is: 124,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,877.25 : 424,256.11 = 83,143.31 : x
  2. Step 2: Convert to fraction form
    282,877.25/424,256.11 = 83,143.31/x
  3. Step 3: Cross multiply
    282,877.25x = 424,256.11 × 83,143.31
  4. Step 4: Simplify right side
    282,877.25x = 35,274,054,943.99
  5. Step 5: Solve for x
    x = 35,274,054,943.99/282,877.25
  6. Step 6: Final answer
    x = 124,697.39

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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.