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Finding the Fourth Proportional to 161,694.96, 242,653.40 and 56,514

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Solution

The fourth proportional to 161,694.96, 242,653.40 and 56,514 is: 84,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,694.96 : 242,653.40 = 56,514 : x
  2. Step 2: Convert to fraction form
    161,694.96/242,653.40 = 56,514/x
  3. Step 3: Cross multiply
    161,694.96x = 242,653.40 × 56,514
  4. Step 4: Simplify right side
    161,694.96x = 13,713,314,247.60
  5. Step 5: Solve for x
    x = 13,713,314,247.60/161,694.96
  6. Step 6: Final answer
    x = 84,809.78

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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.