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Finding the Fourth Proportional to 149,085.70, 223,750.95 and 147,919.30

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Solution

The fourth proportional to 149,085.70, 223,750.95 and 147,919.30 is: 222,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,085.70 : 223,750.95 = 147,919.30 : x
  2. Step 2: Convert to fraction form
    149,085.70/223,750.95 = 147,919.30/x
  3. Step 3: Cross multiply
    149,085.70x = 223,750.95 × 147,919.30
  4. Step 4: Simplify right side
    149,085.70x = 33,097,083,898.34
  5. Step 5: Solve for x
    x = 33,097,083,898.34/149,085.70
  6. Step 6: Final answer
    x = 222,000.39

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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.