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Finding the Fourth Proportional to 201,296.10, 301,980.60 and 101,204.40

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Solution

The fourth proportional to 201,296.10, 301,980.60 and 101,204.40 is: 151,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296.10 : 301,980.60 = 101,204.40 : x
  2. Step 2: Convert to fraction form
    201,296.10/301,980.60 = 101,204.40/x
  3. Step 3: Cross multiply
    201,296.10x = 301,980.60 × 101,204.40
  4. Step 4: Simplify right side
    201,296.10x = 30,561,765,434.64
  5. Step 5: Solve for x
    x = 30,561,765,434.64/201,296.10
  6. Step 6: Final answer
    x = 151,824.93

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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.