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Finding the Fourth Proportional to 230,733.80, 346,100.70 and 151,418.60

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Solution

The fourth proportional to 230,733.80, 346,100.70 and 151,418.60 is: 227,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,733.80 : 346,100.70 = 151,418.60 : x
  2. Step 2: Convert to fraction form
    230,733.80/346,100.70 = 151,418.60/x
  3. Step 3: Cross multiply
    230,733.80x = 346,100.70 × 151,418.60
  4. Step 4: Simplify right side
    230,733.80x = 52,406,083,453.02
  5. Step 5: Solve for x
    x = 52,406,083,453.02/230,733.80
  6. Step 6: Final answer
    x = 227,127.90

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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.