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Finding the Fourth Proportional to 265,076.32, 365,793.84 and 151,909.60

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Solution

The fourth proportional to 265,076.32, 365,793.84 and 151,909.60 is: 209,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,076.32 : 365,793.84 = 151,909.60 : x
  2. Step 2: Convert to fraction form
    265,076.32/365,793.84 = 151,909.60/x
  3. Step 3: Cross multiply
    265,076.32x = 365,793.84 × 151,909.60
  4. Step 4: Simplify right side
    265,076.32x = 55,567,595,916.86
  5. Step 5: Solve for x
    x = 55,567,595,916.86/265,076.32
  6. Step 6: Final answer
    x = 209,628.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.