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Finding the Fourth Proportional to 283,097.80, 424,515.49 and 105,557.14

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Solution

The fourth proportional to 283,097.80, 424,515.49 and 105,557.14 is: 158,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,097.80 : 424,515.49 = 105,557.14 : x
  2. Step 2: Convert to fraction form
    283,097.80/424,515.49 = 105,557.14/x
  3. Step 3: Cross multiply
    283,097.80x = 424,515.49 × 105,557.14
  4. Step 4: Simplify right side
    283,097.80x = 44,810,641,543.60
  5. Step 5: Solve for x
    x = 44,810,641,543.60/283,097.80
  6. Step 6: Final answer
    x = 158,286.79

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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.