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Finding the Fourth Proportional to 523,141.94, 784,722.03 and 144,060.73

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Solution

The fourth proportional to 523,141.94, 784,722.03 and 144,060.73 is: 216,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,141.94 : 784,722.03 = 144,060.73 : x
  2. Step 2: Convert to fraction form
    523,141.94/784,722.03 = 144,060.73/x
  3. Step 3: Cross multiply
    523,141.94x = 784,722.03 × 144,060.73
  4. Step 4: Simplify right side
    523,141.94x = 113,047,625,986.85
  5. Step 5: Solve for x
    x = 113,047,625,986.85/523,141.94
  6. Step 6: Final answer
    x = 216,093.60

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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.