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Finding the Fourth Proportional to 153,321.82, 229,992.46 and 48,144.94

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Solution

The fourth proportional to 153,321.82, 229,992.46 and 48,144.94 is: 72,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,321.82 : 229,992.46 = 48,144.94 : x
  2. Step 2: Convert to fraction form
    153,321.82/229,992.46 = 48,144.94/x
  3. Step 3: Cross multiply
    153,321.82x = 229,992.46 × 48,144.94
  4. Step 4: Simplify right side
    153,321.82x = 11,072,973,187.15
  5. Step 5: Solve for x
    x = 11,072,973,187.15/153,321.82
  6. Step 6: Final answer
    x = 72,220.47

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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.