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Finding the Fourth Proportional to 230,552.49, 345,865.59 and 97,433.85

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Solution

The fourth proportional to 230,552.49, 345,865.59 and 97,433.85 is: 146,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,552.49 : 345,865.59 = 97,433.85 : x
  2. Step 2: Convert to fraction form
    230,552.49/345,865.59 = 97,433.85/x
  3. Step 3: Cross multiply
    230,552.49x = 345,865.59 × 97,433.85
  4. Step 4: Simplify right side
    230,552.49x = 33,699,016,016.22
  5. Step 5: Solve for x
    x = 33,699,016,016.22/230,552.49
  6. Step 6: Final answer
    x = 146,166.35

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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.