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Finding the Fourth Proportional to 209,706.80, 289,398.86 and 114,215.36

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Solution

The fourth proportional to 209,706.80, 289,398.86 and 114,215.36 is: 157,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,706.80 : 289,398.86 = 114,215.36 : x
  2. Step 2: Convert to fraction form
    209,706.80/289,398.86 = 114,215.36/x
  3. Step 3: Cross multiply
    209,706.80x = 289,398.86 × 114,215.36
  4. Step 4: Simplify right side
    209,706.80x = 33,053,794,978.49
  5. Step 5: Solve for x
    x = 33,053,794,978.49/209,706.80
  6. Step 6: Final answer
    x = 157,619.09

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1.5x scale

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.