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Finding the Fourth Proportional to 201,342.20, 302,013.30 and 181,297.40

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Solution

The fourth proportional to 201,342.20, 302,013.30 and 181,297.40 is: 271,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,342.20 : 302,013.30 = 181,297.40 : x
  2. Step 2: Convert to fraction form
    201,342.20/302,013.30 = 181,297.40/x
  3. Step 3: Cross multiply
    201,342.20x = 302,013.30 × 181,297.40
  4. Step 4: Simplify right side
    201,342.20x = 54,754,226,055.42
  5. Step 5: Solve for x
    x = 54,754,226,055.42/201,342.20
  6. Step 6: Final answer
    x = 271,946.10

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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.