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Finding the Fourth Proportional to 210,110.49, 289,940.72 and 119,453.67

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Solution

The fourth proportional to 210,110.49, 289,940.72 and 119,453.67 is: 164,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,110.49 : 289,940.72 = 119,453.67 : x
  2. Step 2: Convert to fraction form
    210,110.49/289,940.72 = 119,453.67/x
  3. Step 3: Cross multiply
    210,110.49x = 289,940.72 × 119,453.67
  4. Step 4: Simplify right side
    210,110.49x = 34,634,482,489.17
  5. Step 5: Solve for x
    x = 34,634,482,489.17/210,110.49
  6. Step 6: Final answer
    x = 164,839.38

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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.