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Finding the Fourth Proportional to 227,544.84, 341,062.83 and 85,253.22

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Solution

The fourth proportional to 227,544.84, 341,062.83 and 85,253.22 is: 127,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,544.84 : 341,062.83 = 85,253.22 : x
  2. Step 2: Convert to fraction form
    227,544.84/341,062.83 = 85,253.22/x
  3. Step 3: Cross multiply
    227,544.84x = 341,062.83 × 85,253.22
  4. Step 4: Simplify right side
    227,544.84x = 29,076,704,479.81
  5. Step 5: Solve for x
    x = 29,076,704,479.81/227,544.84
  6. Step 6: Final answer
    x = 127,784.50

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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.