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Finding the Fourth Proportional to 230,641.16, 345,976.34 and 97,496.60

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Solution

The fourth proportional to 230,641.16, 345,976.34 and 97,496.60 is: 146,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,641.16 : 345,976.34 = 97,496.60 : x
  2. Step 2: Convert to fraction form
    230,641.16/345,976.34 = 97,496.60/x
  3. Step 3: Cross multiply
    230,641.16x = 345,976.34 × 97,496.60
  4. Step 4: Simplify right side
    230,641.16x = 33,731,516,830.44
  5. Step 5: Solve for x
    x = 33,731,516,830.44/230,641.16
  6. Step 6: Final answer
    x = 146,251.07

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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.