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Finding the Fourth Proportional to 390,159.31, 585,238.93 and 109,676.56

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Solution

The fourth proportional to 390,159.31, 585,238.93 and 109,676.56 is: 164,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,159.31 : 585,238.93 = 109,676.56 : x
  2. Step 2: Convert to fraction form
    390,159.31/585,238.93 = 109,676.56/x
  3. Step 3: Cross multiply
    390,159.31x = 585,238.93 × 109,676.56
  4. Step 4: Simplify right side
    390,159.31x = 64,186,992,620.48
  5. Step 5: Solve for x
    x = 64,186,992,620.48/390,159.31
  6. Step 6: Final answer
    x = 164,514.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.