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Finding the Fourth Proportional to 201,622.14, 302,411.61 and 61,381.98

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Solution

The fourth proportional to 201,622.14, 302,411.61 and 61,381.98 is: 92,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,622.14 : 302,411.61 = 61,381.98 : x
  2. Step 2: Convert to fraction form
    201,622.14/302,411.61 = 61,381.98/x
  3. Step 3: Cross multiply
    201,622.14x = 302,411.61 × 61,381.98
  4. Step 4: Simplify right side
    201,622.14x = 18,562,623,396.79
  5. Step 5: Solve for x
    x = 18,562,623,396.79/201,622.14
  6. Step 6: Final answer
    x = 92,066.39

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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.