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Finding the Fourth Proportional to 201,809.70, 302,714.55 and 54,065.70

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Solution

The fourth proportional to 201,809.70, 302,714.55 and 54,065.70 is: 81,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.70 : 302,714.55 = 54,065.70 : x
  2. Step 2: Convert to fraction form
    201,809.70/302,714.55 = 54,065.70/x
  3. Step 3: Cross multiply
    201,809.70x = 302,714.55 × 54,065.70
  4. Step 4: Simplify right side
    201,809.70x = 16,366,474,045.94
  5. Step 5: Solve for x
    x = 16,366,474,045.94/201,809.70
  6. Step 6: Final answer
    x = 81,098.55

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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.