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Finding the Fourth Proportional to 214,648.50, 296,200.09 and 119,147.67

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Solution

The fourth proportional to 214,648.50, 296,200.09 and 119,147.67 is: 164,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,648.50 : 296,200.09 = 119,147.67 : x
  2. Step 2: Convert to fraction form
    214,648.50/296,200.09 = 119,147.67/x
  3. Step 3: Cross multiply
    214,648.50x = 296,200.09 × 119,147.67
  4. Step 4: Simplify right side
    214,648.50x = 35,291,551,166.77
  5. Step 5: Solve for x
    x = 35,291,551,166.77/214,648.50
  6. Step 6: Final answer
    x = 164,415.55

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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.