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Finding the Fourth Proportional to 201,316.10, 301,752.71 and 82,922.85

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Solution

The fourth proportional to 201,316.10, 301,752.71 and 82,922.85 is: 124,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316.10 : 301,752.71 = 82,922.85 : x
  2. Step 2: Convert to fraction form
    201,316.10/301,752.71 = 82,922.85/x
  3. Step 3: Cross multiply
    201,316.10x = 301,752.71 × 82,922.85
  4. Step 4: Simplify right side
    201,316.10x = 25,022,194,293.81
  5. Step 5: Solve for x
    x = 25,022,194,293.81/201,316.10
  6. Step 6: Final answer
    x = 124,293.06

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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.