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Finding the Fourth Proportional to 230,843.50, 318,569.40 and 144,806.11

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Solution

The fourth proportional to 230,843.50, 318,569.40 and 144,806.11 is: 199,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,843.50 : 318,569.40 = 144,806.11 : x
  2. Step 2: Convert to fraction form
    230,843.50/318,569.40 = 144,806.11/x
  3. Step 3: Cross multiply
    230,843.50x = 318,569.40 × 144,806.11
  4. Step 4: Simplify right side
    230,843.50x = 46,130,795,571.68
  5. Step 5: Solve for x
    x = 46,130,795,571.68/230,843.50
  6. Step 6: Final answer
    x = 199,835.80

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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.