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Finding the Fourth Proportional to 282,787.98, 424,168.53 and 83,100.30

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Solution

The fourth proportional to 282,787.98, 424,168.53 and 83,100.30 is: 124,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,787.98 : 424,168.53 = 83,100.30 : x
  2. Step 2: Convert to fraction form
    282,787.98/424,168.53 = 83,100.30/x
  3. Step 3: Cross multiply
    282,787.98x = 424,168.53 × 83,100.30
  4. Step 4: Simplify right side
    282,787.98x = 35,248,532,093.56
  5. Step 5: Solve for x
    x = 35,248,532,093.56/282,787.98
  6. Step 6: Final answer
    x = 124,646.50

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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.