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Finding the Fourth Proportional to 223,411.32, 335,355.73 and 90,378.54

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Solution

The fourth proportional to 223,411.32, 335,355.73 and 90,378.54 is: 135,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,411.32 : 335,355.73 = 90,378.54 : x
  2. Step 2: Convert to fraction form
    223,411.32/335,355.73 = 90,378.54/x
  3. Step 3: Cross multiply
    223,411.32x = 335,355.73 × 90,378.54
  4. Step 4: Simplify right side
    223,411.32x = 30,308,961,032.09
  5. Step 5: Solve for x
    x = 30,308,961,032.09/223,411.32
  6. Step 6: Final answer
    x = 135,664.39

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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.