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Finding the Fourth Proportional to 188,267.89, 282,401.93 and 118,196.41

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Solution

The fourth proportional to 188,267.89, 282,401.93 and 118,196.41 is: 177,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,267.89 : 282,401.93 = 118,196.41 : x
  2. Step 2: Convert to fraction form
    188,267.89/282,401.93 = 118,196.41/x
  3. Step 3: Cross multiply
    188,267.89x = 282,401.93 × 118,196.41
  4. Step 4: Simplify right side
    188,267.89x = 33,378,892,300.08
  5. Step 5: Solve for x
    x = 33,378,892,300.08/188,267.89
  6. Step 6: Final answer
    x = 177,294.67

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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.