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Finding the Fourth Proportional to 201,369.60, 302,090.82 and 82,975.08

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Solution

The fourth proportional to 201,369.60, 302,090.82 and 82,975.08 is: 124,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,369.60 : 302,090.82 = 82,975.08 : x
  2. Step 2: Convert to fraction form
    201,369.60/302,090.82 = 82,975.08/x
  3. Step 3: Cross multiply
    201,369.60x = 302,090.82 × 82,975.08
  4. Step 4: Simplify right side
    201,369.60x = 25,066,009,956.77
  5. Step 5: Solve for x
    x = 25,066,009,956.77/201,369.60
  6. Step 6: Final answer
    x = 124,477.63

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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.