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Finding the Fourth Proportional to 223,742.19, 335,602.34 and 83,489.88

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Solution

The fourth proportional to 223,742.19, 335,602.34 and 83,489.88 is: 125,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,742.19 : 335,602.34 = 83,489.88 : x
  2. Step 2: Convert to fraction form
    223,742.19/335,602.34 = 83,489.88/x
  3. Step 3: Cross multiply
    223,742.19x = 335,602.34 × 83,489.88
  4. Step 4: Simplify right side
    223,742.19x = 28,019,399,094.32
  5. Step 5: Solve for x
    x = 28,019,399,094.32/223,742.19
  6. Step 6: Final answer
    x = 125,230.74

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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.