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Finding the Fourth Proportional to 201,902.40, 302,853.60 and 154,663.20

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Solution

The fourth proportional to 201,902.40, 302,853.60 and 154,663.20 is: 231,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.40 : 302,853.60 = 154,663.20 : x
  2. Step 2: Convert to fraction form
    201,902.40/302,853.60 = 154,663.20/x
  3. Step 3: Cross multiply
    201,902.40x = 302,853.60 × 154,663.20
  4. Step 4: Simplify right side
    201,902.40x = 46,840,306,907.52
  5. Step 5: Solve for x
    x = 46,840,306,907.52/201,902.40
  6. Step 6: Final answer
    x = 231,994.80

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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.