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Finding the Fourth Proportional to 201,282.10, 301,959.60 and 101,190.40

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Solution

The fourth proportional to 201,282.10, 301,959.60 and 101,190.40 is: 151,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282.10 : 301,959.60 = 101,190.40 : x
  2. Step 2: Convert to fraction form
    201,282.10/301,959.60 = 101,190.40/x
  3. Step 3: Cross multiply
    201,282.10x = 301,959.60 × 101,190.40
  4. Step 4: Simplify right side
    201,282.10x = 30,555,412,707.84
  5. Step 5: Solve for x
    x = 30,555,412,707.84/201,282.10
  6. Step 6: Final answer
    x = 151,803.92

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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.