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Finding the Fourth Proportional to 216,104.94, 297,867.86 and 144,458.82

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Solution

The fourth proportional to 216,104.94, 297,867.86 and 144,458.82 is: 199,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,104.94 : 297,867.86 = 144,458.82 : x
  2. Step 2: Convert to fraction form
    216,104.94/297,867.86 = 144,458.82/x
  3. Step 3: Cross multiply
    216,104.94x = 297,867.86 × 144,458.82
  4. Step 4: Simplify right side
    216,104.94x = 43,029,639,571.53
  5. Step 5: Solve for x
    x = 43,029,639,571.53/216,104.94
  6. Step 6: Final answer
    x = 199,114.56

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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.