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Finding the Fourth Proportional to 230,205.60, 345,355.47 and 97,085.97

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Solution

The fourth proportional to 230,205.60, 345,355.47 and 97,085.97 is: 145,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,205.60 : 345,355.47 = 97,085.97 : x
  2. Step 2: Convert to fraction form
    230,205.60/345,355.47 = 97,085.97/x
  3. Step 3: Cross multiply
    230,205.60x = 345,355.47 × 97,085.97
  4. Step 4: Simplify right side
    230,205.60x = 33,529,170,799.76
  5. Step 5: Solve for x
    x = 33,529,170,799.76/230,205.60
  6. Step 6: Final answer
    x = 145,648.81

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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.