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Finding the Fourth Proportional to 219,476.82, 302,902.59 and 123,989.67

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Solution

The fourth proportional to 219,476.82, 302,902.59 and 123,989.67 is: 171,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,476.82 : 302,902.59 = 123,989.67 : x
  2. Step 2: Convert to fraction form
    219,476.82/302,902.59 = 123,989.67/x
  3. Step 3: Cross multiply
    219,476.82x = 302,902.59 × 123,989.67
  4. Step 4: Simplify right side
    219,476.82x = 37,556,792,176.25
  5. Step 5: Solve for x
    x = 37,556,792,176.25/219,476.82
  6. Step 6: Final answer
    x = 171,119.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.