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Finding the Fourth Proportional to 265,960.80, 399,232.80 and 166,233.60

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Solution

The fourth proportional to 265,960.80, 399,232.80 and 166,233.60 is: 249,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,960.80 : 399,232.80 = 166,233.60 : x
  2. Step 2: Convert to fraction form
    265,960.80/399,232.80 = 166,233.60/x
  3. Step 3: Cross multiply
    265,960.80x = 399,232.80 × 166,233.60
  4. Step 4: Simplify right side
    265,960.80x = 66,365,905,582.08
  5. Step 5: Solve for x
    x = 66,365,905,582.08/265,960.80
  6. Step 6: Final answer
    x = 249,532.66

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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.