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Finding the Fourth Proportional to 201,390.05, 302,096.93 and 83,020.50

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Solution

The fourth proportional to 201,390.05, 302,096.93 and 83,020.50 is: 124,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,390.05 : 302,096.93 = 83,020.50 : x
  2. Step 2: Convert to fraction form
    201,390.05/302,096.93 = 83,020.50/x
  3. Step 3: Cross multiply
    201,390.05x = 302,096.93 × 83,020.50
  4. Step 4: Simplify right side
    201,390.05x = 25,080,237,761.96
  5. Step 5: Solve for x
    x = 25,080,237,761.96/201,390.05
  6. Step 6: Final answer
    x = 124,535.63

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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.