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Finding the Fourth Proportional to 523,127.94, 784,699.20 and 149,150.94

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Solution

The fourth proportional to 523,127.94, 784,699.20 and 149,150.94 is: 223,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,127.94 : 784,699.20 = 149,150.94 : x
  2. Step 2: Convert to fraction form
    523,127.94/784,699.20 = 149,150.94/x
  3. Step 3: Cross multiply
    523,127.94x = 784,699.20 × 149,150.94
  4. Step 4: Simplify right side
    523,127.94x = 117,038,623,297.25
  5. Step 5: Solve for x
    x = 117,038,623,297.25/523,127.94
  6. Step 6: Final answer
    x = 223,728.49

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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.