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Finding the Fourth Proportional to 230,644.16, 345,980.84 and 97,499.60

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Solution

The fourth proportional to 230,644.16, 345,980.84 and 97,499.60 is: 146,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,644.16 : 345,980.84 = 97,499.60 : x
  2. Step 2: Convert to fraction form
    230,644.16/345,980.84 = 97,499.60/x
  3. Step 3: Cross multiply
    230,644.16x = 345,980.84 × 97,499.60
  4. Step 4: Simplify right side
    230,644.16x = 33,732,993,507.66
  5. Step 5: Solve for x
    x = 33,732,993,507.66/230,644.16
  6. Step 6: Final answer
    x = 146,255.57

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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.