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Finding the Fourth Proportional to 149,216.01, 223,824.03 and 49,349.40

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Solution

The fourth proportional to 149,216.01, 223,824.03 and 49,349.40 is: 74,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,216.01 : 223,824.03 = 49,349.40 : x
  2. Step 2: Convert to fraction form
    149,216.01/223,824.03 = 49,349.40/x
  3. Step 3: Cross multiply
    149,216.01x = 223,824.03 × 49,349.40
  4. Step 4: Simplify right side
    149,216.01x = 11,045,581,586.08
  5. Step 5: Solve for x
    x = 11,045,581,586.08/149,216.01
  6. Step 6: Final answer
    x = 74,024.10

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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.