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Finding the Fourth Proportional to 200,989.94, 301,491.68 and 101,095.67

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Solution

The fourth proportional to 200,989.94, 301,491.68 and 101,095.67 is: 151,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,989.94 : 301,491.68 = 101,095.67 : x
  2. Step 2: Convert to fraction form
    200,989.94/301,491.68 = 101,095.67/x
  3. Step 3: Cross multiply
    200,989.94x = 301,491.68 × 101,095.67
  4. Step 4: Simplify right side
    200,989.94x = 30,479,501,376.09
  5. Step 5: Solve for x
    x = 30,479,501,376.09/200,989.94
  6. Step 6: Final answer
    x = 151,646.90

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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.