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Finding the Fourth Proportional to 259,540.96, 358,159.44 and 146,374.24

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Solution

The fourth proportional to 259,540.96, 358,159.44 and 146,374.24 is: 201,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540.96 : 358,159.44 = 146,374.24 : x
  2. Step 2: Convert to fraction form
    259,540.96/358,159.44 = 146,374.24/x
  3. Step 3: Cross multiply
    259,540.96x = 358,159.44 × 146,374.24
  4. Step 4: Simplify right side
    259,540.96x = 52,425,315,828.83
  5. Step 5: Solve for x
    x = 52,425,315,828.83/259,540.96
  6. Step 6: Final answer
    x = 201,992.46

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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.