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Finding the Fourth Proportional to 210,100.38, 289,940.62 and 114,609.08

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Solution

The fourth proportional to 210,100.38, 289,940.62 and 114,609.08 is: 158,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,100.38 : 289,940.62 = 114,609.08 : x
  2. Step 2: Convert to fraction form
    210,100.38/289,940.62 = 114,609.08/x
  3. Step 3: Cross multiply
    210,100.38x = 289,940.62 × 114,609.08
  4. Step 4: Simplify right side
    210,100.38x = 33,229,826,263.13
  5. Step 5: Solve for x
    x = 33,229,826,263.13/210,100.38
  6. Step 6: Final answer
    x = 158,161.67

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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.