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Finding the Fourth Proportional to 143,143.05, 200,676.75 and 143,143.05

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Solution

The fourth proportional to 143,143.05, 200,676.75 and 143,143.05 is: 200,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,143.05 : 200,676.75 = 143,143.05 : x
  2. Step 2: Convert to fraction form
    143,143.05/200,676.75 = 143,143.05/x
  3. Step 3: Cross multiply
    143,143.05x = 200,676.75 × 143,143.05
  4. Step 4: Simplify right side
    143,143.05x = 28,725,482,059.09
  5. Step 5: Solve for x
    x = 28,725,482,059.09/143,143.05
  6. Step 6: Final answer
    x = 200,676.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.