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Finding the Fourth Proportional to 149,563.87, 224,280.09 and 56,004.01

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Solution

The fourth proportional to 149,563.87, 224,280.09 and 56,004.01 is: 83,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.87 : 224,280.09 = 56,004.01 : x
  2. Step 2: Convert to fraction form
    149,563.87/224,280.09 = 56,004.01/x
  3. Step 3: Cross multiply
    149,563.87x = 224,280.09 × 56,004.01
  4. Step 4: Simplify right side
    149,563.87x = 12,560,583,842.46
  5. Step 5: Solve for x
    x = 12,560,583,842.46/149,563.87
  6. Step 6: Final answer
    x = 83,981.41

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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.