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Finding the Fourth Proportional to 265,944.96, 367,004.16 and 151,217.28

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Solution

The fourth proportional to 265,944.96, 367,004.16 and 151,217.28 is: 208,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,944.96 : 367,004.16 = 151,217.28 : x
  2. Step 2: Convert to fraction form
    265,944.96/367,004.16 = 151,217.28/x
  3. Step 3: Cross multiply
    265,944.96x = 367,004.16 × 151,217.28
  4. Step 4: Simplify right side
    265,944.96x = 55,497,370,823.88
  5. Step 5: Solve for x
    x = 55,497,370,823.88/265,944.96
  6. Step 6: Final answer
    x = 208,679.91

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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.