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Finding the Fourth Proportional to 393,156, 589,738.08 and 97,668

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Solution

The fourth proportional to 393,156, 589,738.08 and 97,668 is: 146,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,156 : 589,738.08 = 97,668 : x
  2. Step 2: Convert to fraction form
    393,156/589,738.08 = 97,668/x
  3. Step 3: Cross multiply
    393,156x = 589,738.08 × 97,668
  4. Step 4: Simplify right side
    393,156x = 57,598,538,797.44
  5. Step 5: Solve for x
    x = 57,598,538,797.44/393,156
  6. Step 6: Final answer
    x = 146,503.01

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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.