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Finding the Fourth Proportional to 149,296.63, 224,041.29 and 54,518.88

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Solution

The fourth proportional to 149,296.63, 224,041.29 and 54,518.88 is: 81,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,296.63 : 224,041.29 = 54,518.88 : x
  2. Step 2: Convert to fraction form
    149,296.63/224,041.29 = 54,518.88/x
  3. Step 3: Cross multiply
    149,296.63x = 224,041.29 × 54,518.88
  4. Step 4: Simplify right side
    149,296.63x = 12,214,480,204.56
  5. Step 5: Solve for x
    x = 12,214,480,204.56/149,296.63
  6. Step 6: Final answer
    x = 81,813.50

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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.