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Finding the Fourth Proportional to 213,598.53, 294,716.88 and 127,540.71

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Solution

The fourth proportional to 213,598.53, 294,716.88 and 127,540.71 is: 175,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,598.53 : 294,716.88 = 127,540.71 : x
  2. Step 2: Convert to fraction form
    213,598.53/294,716.88 = 127,540.71/x
  3. Step 3: Cross multiply
    213,598.53x = 294,716.88 × 127,540.71
  4. Step 4: Simplify right side
    213,598.53x = 37,588,400,124.18
  5. Step 5: Solve for x
    x = 37,588,400,124.18/213,598.53
  6. Step 6: Final answer
    x = 175,976.87

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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.