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Finding the Fourth Proportional to 201,756.54, 302,459.49 and 101,833.50

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Solution

The fourth proportional to 201,756.54, 302,459.49 and 101,833.50 is: 152,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,756.54 : 302,459.49 = 101,833.50 : x
  2. Step 2: Convert to fraction form
    201,756.54/302,459.49 = 101,833.50/x
  3. Step 3: Cross multiply
    201,756.54x = 302,459.49 × 101,833.50
  4. Step 4: Simplify right side
    201,756.54x = 30,800,508,474.92
  5. Step 5: Solve for x
    x = 30,800,508,474.92/201,756.54
  6. Step 6: Final answer
    x = 152,661.76

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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.