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Finding the Fourth Proportional to 259,142.12, 357,493.88 and 151,645.60

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Solution

The fourth proportional to 259,142.12, 357,493.88 and 151,645.60 is: 209,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,142.12 : 357,493.88 = 151,645.60 : x
  2. Step 2: Convert to fraction form
    259,142.12/357,493.88 = 151,645.60/x
  3. Step 3: Cross multiply
    259,142.12x = 357,493.88 × 151,645.60
  4. Step 4: Simplify right side
    259,142.12x = 54,212,373,928.93
  5. Step 5: Solve for x
    x = 54,212,373,928.93/259,142.12
  6. Step 6: Final answer
    x = 209,199.39

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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.