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Finding the Fourth Proportional to 523,182.38, 784,752.90 and 149,205.38

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Solution

The fourth proportional to 523,182.38, 784,752.90 and 149,205.38 is: 223,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,182.38 : 784,752.90 = 149,205.38 : x
  2. Step 2: Convert to fraction form
    523,182.38/784,752.90 = 149,205.38/x
  3. Step 3: Cross multiply
    523,182.38x = 784,752.90 × 149,205.38
  4. Step 4: Simplify right side
    523,182.38x = 117,089,354,650.60
  5. Step 5: Solve for x
    x = 117,089,354,650.60/523,182.38
  6. Step 6: Final answer
    x = 223,802.18

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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.