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Finding the Fourth Proportional to 201,804.42, 302,498.94 and 89,537.52

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Solution

The fourth proportional to 201,804.42, 302,498.94 and 89,537.52 is: 134,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,804.42 : 302,498.94 = 89,537.52 : x
  2. Step 2: Convert to fraction form
    201,804.42/302,498.94 = 89,537.52/x
  3. Step 3: Cross multiply
    201,804.42x = 302,498.94 × 89,537.52
  4. Step 4: Simplify right side
    201,804.42x = 27,085,004,890.23
  5. Step 5: Solve for x
    x = 27,085,004,890.23/201,804.42
  6. Step 6: Final answer
    x = 134,214.13

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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.