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Finding the Fourth Proportional to 284,750.64, 427,901.94 and 151,725.96

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Solution

The fourth proportional to 284,750.64, 427,901.94 and 151,725.96 is: 228,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,750.64 : 427,901.94 = 151,725.96 : x
  2. Step 2: Convert to fraction form
    284,750.64/427,901.94 = 151,725.96/x
  3. Step 3: Cross multiply
    284,750.64x = 427,901.94 × 151,725.96
  4. Step 4: Simplify right side
    284,750.64x = 64,923,832,632.36
  5. Step 5: Solve for x
    x = 64,923,832,632.36/284,750.64
  6. Step 6: Final answer
    x = 228,002.41

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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.