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Finding the Fourth Proportional to 288,765.82, 433,222.52 and 111,225.16

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Solution

The fourth proportional to 288,765.82, 433,222.52 and 111,225.16 is: 166,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,765.82 : 433,222.52 = 111,225.16 : x
  2. Step 2: Convert to fraction form
    288,765.82/433,222.52 = 111,225.16/x
  3. Step 3: Cross multiply
    288,765.82x = 433,222.52 × 111,225.16
  4. Step 4: Simplify right side
    288,765.82x = 48,185,244,102.60
  5. Step 5: Solve for x
    x = 48,185,244,102.60/288,765.82
  6. Step 6: Final answer
    x = 166,866.16

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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.