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Finding the Fourth Proportional to 201,464.83, 302,231.67 and 83,071.45

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Solution

The fourth proportional to 201,464.83, 302,231.67 and 83,071.45 is: 124,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,464.83 : 302,231.67 = 83,071.45 : x
  2. Step 2: Convert to fraction form
    201,464.83/302,231.67 = 83,071.45/x
  3. Step 3: Cross multiply
    201,464.83x = 302,231.67 × 83,071.45
  4. Step 4: Simplify right side
    201,464.83x = 25,106,823,062.82
  5. Step 5: Solve for x
    x = 25,106,823,062.82/201,464.83
  6. Step 6: Final answer
    x = 124,621.37

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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.