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Finding the Fourth Proportional to 201,153, 301,993.20 and 134,889.64

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Solution

The fourth proportional to 201,153, 301,993.20 and 134,889.64 is: 202,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153 : 301,993.20 = 134,889.64 : x
  2. Step 2: Convert to fraction form
    201,153/301,993.20 = 134,889.64/x
  3. Step 3: Cross multiply
    201,153x = 301,993.20 × 134,889.64
  4. Step 4: Simplify right side
    201,153x = 40,735,754,030.45
  5. Step 5: Solve for x
    x = 40,735,754,030.45/201,153
  6. Step 6: Final answer
    x = 202,511.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.