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Finding the Fourth Proportional to 288,764.66, 433,220.81 and 111,224.00

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Solution

The fourth proportional to 288,764.66, 433,220.81 and 111,224.00 is: 166,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,764.66 : 433,220.81 = 111,224.00 : x
  2. Step 2: Convert to fraction form
    288,764.66/433,220.81 = 111,224.00/x
  3. Step 3: Cross multiply
    288,764.66x = 433,220.81 × 111,224.00
  4. Step 4: Simplify right side
    288,764.66x = 48,184,551,898.37
  5. Step 5: Solve for x
    x = 48,184,551,898.37/288,764.66
  6. Step 6: Final answer
    x = 166,864.43

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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.