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Finding the Fourth Proportional to 265,208.74, 365,958.08 and 156,305.98

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Solution

The fourth proportional to 265,208.74, 365,958.08 and 156,305.98 is: 215,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,208.74 : 365,958.08 = 156,305.98 : x
  2. Step 2: Convert to fraction form
    265,208.74/365,958.08 = 156,305.98/x
  3. Step 3: Cross multiply
    265,208.74x = 365,958.08 × 156,305.98
  4. Step 4: Simplify right side
    265,208.74x = 57,201,436,333.32
  5. Step 5: Solve for x
    x = 57,201,436,333.32/265,208.74
  6. Step 6: Final answer
    x = 215,684.58

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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.