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Finding the Fourth Proportional to 213,107.54, 294,126.54 and 127,072.08

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Solution

The fourth proportional to 213,107.54, 294,126.54 and 127,072.08 is: 175,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,107.54 : 294,126.54 = 127,072.08 : x
  2. Step 2: Convert to fraction form
    213,107.54/294,126.54 = 127,072.08/x
  3. Step 3: Cross multiply
    213,107.54x = 294,126.54 × 127,072.08
  4. Step 4: Simplify right side
    213,107.54x = 37,375,271,221.00
  5. Step 5: Solve for x
    x = 37,375,271,221.00/213,107.54
  6. Step 6: Final answer
    x = 175,382.21

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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.