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Finding the Fourth Proportional to 284,084.64, 426,016.22 and 106,494.75

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Solution

The fourth proportional to 284,084.64, 426,016.22 and 106,494.75 is: 159,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,084.64 : 426,016.22 = 106,494.75 : x
  2. Step 2: Convert to fraction form
    284,084.64/426,016.22 = 106,494.75/x
  3. Step 3: Cross multiply
    284,084.64x = 426,016.22 × 106,494.75
  4. Step 4: Simplify right side
    284,084.64x = 45,368,490,312.37
  5. Step 5: Solve for x
    x = 45,368,490,312.37/284,084.64
  6. Step 6: Final answer
    x = 159,700.61

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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.