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Finding the Fourth Proportional to 146,495.82, 219,750.12 and 71,678.96

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Solution

The fourth proportional to 146,495.82, 219,750.12 and 71,678.96 is: 107,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,495.82 : 219,750.12 = 71,678.96 : x
  2. Step 2: Convert to fraction form
    146,495.82/219,750.12 = 71,678.96/x
  3. Step 3: Cross multiply
    146,495.82x = 219,750.12 × 71,678.96
  4. Step 4: Simplify right side
    146,495.82x = 15,751,460,061.48
  5. Step 5: Solve for x
    x = 15,751,460,061.48/146,495.82
  6. Step 6: Final answer
    x = 107,521.57

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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.