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Finding the Fourth Proportional to 283,714.16, 425,633.49 and 84,050.16

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Solution

The fourth proportional to 283,714.16, 425,633.49 and 84,050.16 is: 126,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,714.16 : 425,633.49 = 84,050.16 : x
  2. Step 2: Convert to fraction form
    283,714.16/425,633.49 = 84,050.16/x
  3. Step 3: Cross multiply
    283,714.16x = 425,633.49 × 84,050.16
  4. Step 4: Simplify right side
    283,714.16x = 35,774,562,935.86
  5. Step 5: Solve for x
    x = 35,774,562,935.86/283,714.16
  6. Step 6: Final answer
    x = 126,093.68

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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.