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Finding the Fourth Proportional to 288,766.16, 433,223.06 and 111,225.50

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Solution

The fourth proportional to 288,766.16, 433,223.06 and 111,225.50 is: 166,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766.16 : 433,223.06 = 111,225.50 : x
  2. Step 2: Convert to fraction form
    288,766.16/433,223.06 = 111,225.50/x
  3. Step 3: Cross multiply
    288,766.16x = 433,223.06 × 111,225.50
  4. Step 4: Simplify right side
    288,766.16x = 48,185,451,460.03
  5. Step 5: Solve for x
    x = 48,185,451,460.03/288,766.16
  6. Step 6: Final answer
    x = 166,866.68

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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.