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Finding the Fourth Proportional to 201,273.80, 302,105.10 and 122,541.80

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Solution

The fourth proportional to 201,273.80, 302,105.10 and 122,541.80 is: 183,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,273.80 : 302,105.10 = 122,541.80 : x
  2. Step 2: Convert to fraction form
    201,273.80/302,105.10 = 122,541.80/x
  3. Step 3: Cross multiply
    201,273.80x = 302,105.10 × 122,541.80
  4. Step 4: Simplify right side
    201,273.80x = 37,020,502,743.18
  5. Step 5: Solve for x
    x = 37,020,502,743.18/201,273.80
  6. Step 6: Final answer
    x = 183,931.06

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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.