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Finding the Fourth Proportional to 228,591, 315,382.68 and 148,080.24

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Solution

The fourth proportional to 228,591, 315,382.68 and 148,080.24 is: 204,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,591 : 315,382.68 = 148,080.24 : x
  2. Step 2: Convert to fraction form
    228,591/315,382.68 = 148,080.24/x
  3. Step 3: Cross multiply
    228,591x = 315,382.68 × 148,080.24
  4. Step 4: Simplify right side
    228,591x = 46,701,942,946.24
  5. Step 5: Solve for x
    x = 46,701,942,946.24/228,591
  6. Step 6: Final answer
    x = 204,303.51

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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.