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Finding the Fourth Proportional to 284,093.64, 426,029.72 and 106,503.75

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Solution

The fourth proportional to 284,093.64, 426,029.72 and 106,503.75 is: 159,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,093.64 : 426,029.72 = 106,503.75 : x
  2. Step 2: Convert to fraction form
    284,093.64/426,029.72 = 106,503.75/x
  3. Step 3: Cross multiply
    284,093.64x = 426,029.72 × 106,503.75
  4. Step 4: Simplify right side
    284,093.64x = 45,373,762,258.93
  5. Step 5: Solve for x
    x = 45,373,762,258.93/284,093.64
  6. Step 6: Final answer
    x = 159,714.11

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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.