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Finding the Fourth Proportional to 209,960.10, 314,940.15 and 104,984.10

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Solution

The fourth proportional to 209,960.10, 314,940.15 and 104,984.10 is: 157,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,960.10 : 314,940.15 = 104,984.10 : x
  2. Step 2: Convert to fraction form
    209,960.10/314,940.15 = 104,984.10/x
  3. Step 3: Cross multiply
    209,960.10x = 314,940.15 × 104,984.10
  4. Step 4: Simplify right side
    209,960.10x = 33,063,708,201.62
  5. Step 5: Solve for x
    x = 33,063,708,201.62/209,960.10
  6. Step 6: Final answer
    x = 157,476.15

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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.