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Finding the Fourth Proportional to 283,230.58, 424,804.86 and 83,541.10

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Solution

The fourth proportional to 283,230.58, 424,804.86 and 83,541.10 is: 125,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,230.58 : 424,804.86 = 83,541.10 : x
  2. Step 2: Convert to fraction form
    283,230.58/424,804.86 = 83,541.10/x
  3. Step 3: Cross multiply
    283,230.58x = 424,804.86 × 83,541.10
  4. Step 4: Simplify right side
    283,230.58x = 35,488,665,289.75
  5. Step 5: Solve for x
    x = 35,488,665,289.75/283,230.58
  6. Step 6: Final answer
    x = 125,299.55

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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.