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Finding the Fourth Proportional to 523,101.75, 784,659.92 and 149,124.75

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Solution

The fourth proportional to 523,101.75, 784,659.92 and 149,124.75 is: 223,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,101.75 : 784,659.92 = 149,124.75 : x
  2. Step 2: Convert to fraction form
    523,101.75/784,659.92 = 149,124.75/x
  3. Step 3: Cross multiply
    523,101.75x = 784,659.92 × 149,124.75
  4. Step 4: Simplify right side
    523,101.75x = 117,012,213,659.40
  5. Step 5: Solve for x
    x = 117,012,213,659.40/523,101.75
  6. Step 6: Final answer
    x = 223,689.20

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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.