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Finding the Fourth Proportional to 230,557.60, 344,799.60 and 193,232.80

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Solution

The fourth proportional to 230,557.60, 344,799.60 and 193,232.80 is: 288,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,557.60 : 344,799.60 = 193,232.80 : x
  2. Step 2: Convert to fraction form
    230,557.60/344,799.60 = 193,232.80/x
  3. Step 3: Cross multiply
    230,557.60x = 344,799.60 × 193,232.80
  4. Step 4: Simplify right side
    230,557.60x = 66,626,592,146.88
  5. Step 5: Solve for x
    x = 66,626,592,146.88/230,557.60
  6. Step 6: Final answer
    x = 288,980.25

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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.