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Finding the Fourth Proportional to 230,143.52, 345,262.26 and 97,023.80

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Solution

The fourth proportional to 230,143.52, 345,262.26 and 97,023.80 is: 145,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,143.52 : 345,262.26 = 97,023.80 : x
  2. Step 2: Convert to fraction form
    230,143.52/345,262.26 = 97,023.80/x
  3. Step 3: Cross multiply
    230,143.52x = 345,262.26 × 97,023.80
  4. Step 4: Simplify right side
    230,143.52x = 33,498,656,461.79
  5. Step 5: Solve for x
    x = 33,498,656,461.79/230,143.52
  6. Step 6: Final answer
    x = 145,555.51

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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.