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Finding the Fourth Proportional to 283,299.80, 424,907.58 and 105,784.52

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Solution

The fourth proportional to 283,299.80, 424,907.58 and 105,784.52 is: 158,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,299.80 : 424,907.58 = 105,784.52 : x
  2. Step 2: Convert to fraction form
    283,299.80/424,907.58 = 105,784.52/x
  3. Step 3: Cross multiply
    283,299.80x = 424,907.58 × 105,784.52
  4. Step 4: Simplify right side
    283,299.80x = 44,948,644,394.66
  5. Step 5: Solve for x
    x = 44,948,644,394.66/283,299.80
  6. Step 6: Final answer
    x = 158,661.05

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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.