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Finding the Fourth Proportional to 201,662.92, 302,681.42 and 101,893.18

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Solution

The fourth proportional to 201,662.92, 302,681.42 and 101,893.18 is: 152,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662.92 : 302,681.42 = 101,893.18 : x
  2. Step 2: Convert to fraction form
    201,662.92/302,681.42 = 101,893.18/x
  3. Step 3: Cross multiply
    201,662.92x = 302,681.42 × 101,893.18
  4. Step 4: Simplify right side
    201,662.92x = 30,841,171,144.55
  5. Step 5: Solve for x
    x = 30,841,171,144.55/201,662.92
  6. Step 6: Final answer
    x = 152,934.27

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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.