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Finding the Fourth Proportional to 230,270.94, 345,453 and 97,151.49

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Solution

The fourth proportional to 230,270.94, 345,453 and 97,151.49 is: 145,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,270.94 : 345,453 = 97,151.49 : x
  2. Step 2: Convert to fraction form
    230,270.94/345,453 = 97,151.49/x
  3. Step 3: Cross multiply
    230,270.94x = 345,453 × 97,151.49
  4. Step 4: Simplify right side
    230,270.94x = 33,561,273,674.97
  5. Step 5: Solve for x
    x = 33,561,273,674.97/230,270.94
  6. Step 6: Final answer
    x = 145,746.89

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1.5x scale

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.