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Finding the Fourth Proportional to 259,383.44, 357,927.72 and 146,234

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Solution

The fourth proportional to 259,383.44, 357,927.72 and 146,234 is: 201,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,383.44 : 357,927.72 = 146,234 : x
  2. Step 2: Convert to fraction form
    259,383.44/357,927.72 = 146,234/x
  3. Step 3: Cross multiply
    259,383.44x = 357,927.72 × 146,234
  4. Step 4: Simplify right side
    259,383.44x = 52,341,202,206.48
  5. Step 5: Solve for x
    x = 52,341,202,206.48/259,383.44
  6. Step 6: Final answer
    x = 201,790.84

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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.