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Finding the Fourth Proportional to 201,495.17, 302,231.82 and 61,242.86

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Solution

The fourth proportional to 201,495.17, 302,231.82 and 61,242.86 is: 91,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,495.17 : 302,231.82 = 61,242.86 : x
  2. Step 2: Convert to fraction form
    201,495.17/302,231.82 = 61,242.86/x
  3. Step 3: Cross multiply
    201,495.17x = 302,231.82 × 61,242.86
  4. Step 4: Simplify right side
    201,495.17x = 18,509,541,039.81
  5. Step 5: Solve for x
    x = 18,509,541,039.81/201,495.17
  6. Step 6: Final answer
    x = 91,860.97

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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.