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Finding the Fourth Proportional to 149,204.70, 223,929.45 and 148,038.30

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Solution

The fourth proportional to 149,204.70, 223,929.45 and 148,038.30 is: 222,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,204.70 : 223,929.45 = 148,038.30 : x
  2. Step 2: Convert to fraction form
    149,204.70/223,929.45 = 148,038.30/x
  3. Step 3: Cross multiply
    149,204.70x = 223,929.45 × 148,038.30
  4. Step 4: Simplify right side
    149,204.70x = 33,150,135,097.94
  5. Step 5: Solve for x
    x = 33,150,135,097.94/149,204.70
  6. Step 6: Final answer
    x = 222,178.89

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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.