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Finding the Fourth Proportional to 284,811.37, 426,965.63 and 107,442.93

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Solution

The fourth proportional to 284,811.37, 426,965.63 and 107,442.93 is: 161,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,811.37 : 426,965.63 = 107,442.93 : x
  2. Step 2: Convert to fraction form
    284,811.37/426,965.63 = 107,442.93/x
  3. Step 3: Cross multiply
    284,811.37x = 426,965.63 × 107,442.93
  4. Step 4: Simplify right side
    284,811.37x = 45,874,438,296.50
  5. Step 5: Solve for x
    x = 45,874,438,296.50/284,811.37
  6. Step 6: Final answer
    x = 161,069.55

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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.