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Finding the Fourth Proportional to 149,299.51, 223,980.86 and 49,454.05

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Solution

The fourth proportional to 149,299.51, 223,980.86 and 49,454.05 is: 74,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,299.51 : 223,980.86 = 49,454.05 : x
  2. Step 2: Convert to fraction form
    149,299.51/223,980.86 = 49,454.05/x
  3. Step 3: Cross multiply
    149,299.51x = 223,980.86 × 49,454.05
  4. Step 4: Simplify right side
    149,299.51x = 11,076,760,402.21
  5. Step 5: Solve for x
    x = 11,076,760,402.21/149,299.51
  6. Step 6: Final answer
    x = 74,191.54

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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.