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Finding the Fourth Proportional to 223,411.70, 335,356.29 and 90,378.92

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Solution

The fourth proportional to 223,411.70, 335,356.29 and 90,378.92 is: 135,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,411.70 : 335,356.29 = 90,378.92 : x
  2. Step 2: Convert to fraction form
    223,411.70/335,356.29 = 90,378.92/x
  3. Step 3: Cross multiply
    223,411.70x = 335,356.29 × 90,378.92
  4. Step 4: Simplify right side
    223,411.70x = 30,309,139,305.41
  5. Step 5: Solve for x
    x = 30,309,139,305.41/223,411.70
  6. Step 6: Final answer
    x = 135,664.96

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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.