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Finding the Fourth Proportional to 265,116, 365,860.08 and 145,884

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Solution

The fourth proportional to 265,116, 365,860.08 and 145,884 is: 201,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,116 : 365,860.08 = 145,884 : x
  2. Step 2: Convert to fraction form
    265,116/365,860.08 = 145,884/x
  3. Step 3: Cross multiply
    265,116x = 365,860.08 × 145,884
  4. Step 4: Simplify right side
    265,116x = 53,373,131,910.72
  5. Step 5: Solve for x
    x = 53,373,131,910.72/265,116
  6. Step 6: Final answer
    x = 201,319.92

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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.