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Finding the Fourth Proportional to 223,714.44, 335,659.14 and 83,484

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Solution

The fourth proportional to 223,714.44, 335,659.14 and 83,484 is: 125,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,714.44 : 335,659.14 = 83,484 : x
  2. Step 2: Convert to fraction form
    223,714.44/335,659.14 = 83,484/x
  3. Step 3: Cross multiply
    223,714.44x = 335,659.14 × 83,484
  4. Step 4: Simplify right side
    223,714.44x = 28,022,167,643.76
  5. Step 5: Solve for x
    x = 28,022,167,643.76/223,714.44
  6. Step 6: Final answer
    x = 125,258.65

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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.