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Finding the Fourth Proportional to 230,297, 345,297.06 and 97,141.64

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Solution

The fourth proportional to 230,297, 345,297.06 and 97,141.64 is: 145,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,297 : 345,297.06 = 97,141.64 : x
  2. Step 2: Convert to fraction form
    230,297/345,297.06 = 97,141.64/x
  3. Step 3: Cross multiply
    230,297x = 345,297.06 × 97,141.64
  4. Step 4: Simplify right side
    230,297x = 33,542,722,695.58
  5. Step 5: Solve for x
    x = 33,542,722,695.58/230,297
  6. Step 6: Final answer
    x = 145,649.85

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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.