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Finding the Fourth Proportional to 213,352.60, 294,414.42 and 127,408.60

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Solution

The fourth proportional to 213,352.60, 294,414.42 and 127,408.60 is: 175,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,352.60 : 294,414.42 = 127,408.60 : x
  2. Step 2: Convert to fraction form
    213,352.60/294,414.42 = 127,408.60/x
  3. Step 3: Cross multiply
    213,352.60x = 294,414.42 × 127,408.60
  4. Step 4: Simplify right side
    213,352.60x = 37,510,929,072.01
  5. Step 5: Solve for x
    x = 37,510,929,072.01/213,352.60
  6. Step 6: Final answer
    x = 175,816.60

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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.