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Finding the Fourth Proportional to 265,056.75, 397,712.70 and 131,948.64

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Solution

The fourth proportional to 265,056.75, 397,712.70 and 131,948.64 is: 197,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,056.75 : 397,712.70 = 131,948.64 : x
  2. Step 2: Convert to fraction form
    265,056.75/397,712.70 = 131,948.64/x
  3. Step 3: Cross multiply
    265,056.75x = 397,712.70 × 131,948.64
  4. Step 4: Simplify right side
    265,056.75x = 52,477,649,875.73
  5. Step 5: Solve for x
    x = 52,477,649,875.73/265,056.75
  6. Step 6: Final answer
    x = 197,986.47

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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.