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Finding the Fourth Proportional to 204,970.36, 282,858.36 and 114,326.25

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Solution

The fourth proportional to 204,970.36, 282,858.36 and 114,326.25 is: 157,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,970.36 : 282,858.36 = 114,326.25 : x
  2. Step 2: Convert to fraction form
    204,970.36/282,858.36 = 114,326.25/x
  3. Step 3: Cross multiply
    204,970.36x = 282,858.36 × 114,326.25
  4. Step 4: Simplify right side
    204,970.36x = 32,338,135,579.95
  5. Step 5: Solve for x
    x = 32,338,135,579.95/204,970.36
  6. Step 6: Final answer
    x = 157,769.82

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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.