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Finding the Fourth Proportional to 284,065.58, 426,081.67 and 106,557.73

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Solution

The fourth proportional to 284,065.58, 426,081.67 and 106,557.73 is: 159,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,065.58 : 426,081.67 = 106,557.73 : x
  2. Step 2: Convert to fraction form
    284,065.58/426,081.67 = 106,557.73/x
  3. Step 3: Cross multiply
    284,065.58x = 426,081.67 × 106,557.73
  4. Step 4: Simplify right side
    284,065.58x = 45,402,294,218.21
  5. Step 5: Solve for x
    x = 45,402,294,218.21/284,065.58
  6. Step 6: Final answer
    x = 159,830.32

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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.