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Finding the Fourth Proportional to 283,714.77, 425,634.45 and 84,050.79

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Solution

The fourth proportional to 283,714.77, 425,634.45 and 84,050.79 is: 126,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,714.77 : 425,634.45 = 84,050.79 : x
  2. Step 2: Convert to fraction form
    283,714.77/425,634.45 = 84,050.79/x
  3. Step 3: Cross multiply
    283,714.77x = 425,634.45 × 84,050.79
  4. Step 4: Simplify right side
    283,714.77x = 35,774,909,225.29
  5. Step 5: Solve for x
    x = 35,774,909,225.29/283,714.77
  6. Step 6: Final answer
    x = 126,094.63

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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.