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Finding the Fourth Proportional to 201,693.90, 302,022.45 and 148,817.10

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Solution

The fourth proportional to 201,693.90, 302,022.45 and 148,817.10 is: 222,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,693.90 : 302,022.45 = 148,817.10 : x
  2. Step 2: Convert to fraction form
    201,693.90/302,022.45 = 148,817.10/x
  3. Step 3: Cross multiply
    201,693.90x = 302,022.45 × 148,817.10
  4. Step 4: Simplify right side
    201,693.90x = 44,946,105,143.90
  5. Step 5: Solve for x
    x = 44,946,105,143.90/201,693.90
  6. Step 6: Final answer
    x = 222,843.16

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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.