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Finding the Fourth Proportional to 218,958.30, 328,360.65 and 113,742.30

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Solution

The fourth proportional to 218,958.30, 328,360.65 and 113,742.30 is: 170,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,958.30 : 328,360.65 = 113,742.30 : x
  2. Step 2: Convert to fraction form
    218,958.30/328,360.65 = 113,742.30/x
  3. Step 3: Cross multiply
    218,958.30x = 328,360.65 × 113,742.30
  4. Step 4: Simplify right side
    218,958.30x = 37,348,495,560.50
  5. Step 5: Solve for x
    x = 37,348,495,560.50/218,958.30
  6. Step 6: Final answer
    x = 170,573.55

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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.