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Finding the Fourth Proportional to 201,863.46, 302,795.18 and 59,697.66

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Solution

The fourth proportional to 201,863.46, 302,795.18 and 59,697.66 is: 89,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,863.46 : 302,795.18 = 59,697.66 : x
  2. Step 2: Convert to fraction form
    201,863.46/302,795.18 = 59,697.66/x
  3. Step 3: Cross multiply
    201,863.46x = 302,795.18 × 59,697.66
  4. Step 4: Simplify right side
    201,863.46x = 18,076,163,705.28
  5. Step 5: Solve for x
    x = 18,076,163,705.28/201,863.46
  6. Step 6: Final answer
    x = 89,546.49

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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.