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Finding the Fourth Proportional to 230,283.70, 345,472.12 and 97,164.24

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Solution

The fourth proportional to 230,283.70, 345,472.12 and 97,164.24 is: 145,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,283.70 : 345,472.12 = 97,164.24 : x
  2. Step 2: Convert to fraction form
    230,283.70/345,472.12 = 97,164.24/x
  3. Step 3: Cross multiply
    230,283.70x = 345,472.12 × 97,164.24
  4. Step 4: Simplify right side
    230,283.70x = 33,567,535,980.99
  5. Step 5: Solve for x
    x = 33,567,535,980.99/230,283.70
  6. Step 6: Final answer
    x = 145,766.01

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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.