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Finding the Fourth Proportional to 146,412.70, 219,619.05 and 35,604.70

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Solution

The fourth proportional to 146,412.70, 219,619.05 and 35,604.70 is: 53,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,412.70 : 219,619.05 = 35,604.70 : x
  2. Step 2: Convert to fraction form
    146,412.70/219,619.05 = 35,604.70/x
  3. Step 3: Cross multiply
    146,412.70x = 219,619.05 × 35,604.70
  4. Step 4: Simplify right side
    146,412.70x = 7,819,470,389.54
  5. Step 5: Solve for x
    x = 7,819,470,389.54/146,412.70
  6. Step 6: Final answer
    x = 53,407.05

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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.