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Finding the Fourth Proportional to 149,749.75, 224,657.43 and 56,255.50

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Solution

The fourth proportional to 149,749.75, 224,657.43 and 56,255.50 is: 84,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,749.75 : 224,657.43 = 56,255.50 : x
  2. Step 2: Convert to fraction form
    149,749.75/224,657.43 = 56,255.50/x
  3. Step 3: Cross multiply
    149,749.75x = 224,657.43 × 56,255.50
  4. Step 4: Simplify right side
    149,749.75x = 12,638,216,053.37
  5. Step 5: Solve for x
    x = 12,638,216,053.37/149,749.75
  6. Step 6: Final answer
    x = 84,395.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.