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Finding the Fourth Proportional to 201,424.84, 302,137.35 and 51,665.14

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Solution

The fourth proportional to 201,424.84, 302,137.35 and 51,665.14 is: 77,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,424.84 : 302,137.35 = 51,665.14 : x
  2. Step 2: Convert to fraction form
    201,424.84/302,137.35 = 51,665.14/x
  3. Step 3: Cross multiply
    201,424.84x = 302,137.35 × 51,665.14
  4. Step 4: Simplify right side
    201,424.84x = 15,609,968,486.98
  5. Step 5: Solve for x
    x = 15,609,968,486.98/201,424.84
  6. Step 6: Final answer
    x = 77,497.73

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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.