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Finding the Fourth Proportional to 201,630.94, 302,447.10 and 59,477.96

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Solution

The fourth proportional to 201,630.94, 302,447.10 and 59,477.96 is: 89,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,630.94 : 302,447.10 = 59,477.96 : x
  2. Step 2: Convert to fraction form
    201,630.94/302,447.10 = 59,477.96/x
  3. Step 3: Cross multiply
    201,630.94x = 302,447.10 × 59,477.96
  4. Step 4: Simplify right side
    201,630.94x = 17,988,936,515.92
  5. Step 5: Solve for x
    x = 17,988,936,515.92/201,630.94
  6. Step 6: Final answer
    x = 89,217.14

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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.