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Finding the Fourth Proportional to 230,296.47, 345,296.34 and 97,141.11

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Solution

The fourth proportional to 230,296.47, 345,296.34 and 97,141.11 is: 145,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,296.47 : 345,296.34 = 97,141.11 : x
  2. Step 2: Convert to fraction form
    230,296.47/345,296.34 = 97,141.11/x
  3. Step 3: Cross multiply
    230,296.47x = 345,296.34 × 97,141.11
  4. Step 4: Simplify right side
    230,296.47x = 33,542,469,746.54
  5. Step 5: Solve for x
    x = 33,542,469,746.54/230,296.47
  6. Step 6: Final answer
    x = 145,649.08

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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.