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Finding the Fourth Proportional to 259,381.44, 357,924.96 and 146,232

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Solution

The fourth proportional to 259,381.44, 357,924.96 and 146,232 is: 201,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,381.44 : 357,924.96 = 146,232 : x
  2. Step 2: Convert to fraction form
    259,381.44/357,924.96 = 146,232/x
  3. Step 3: Cross multiply
    259,381.44x = 357,924.96 × 146,232
  4. Step 4: Simplify right side
    259,381.44x = 52,340,082,750.72
  5. Step 5: Solve for x
    x = 52,340,082,750.72/259,381.44
  6. Step 6: Final answer
    x = 201,788.08

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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.