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Finding the Fourth Proportional to 217,301.63, 325,938.15 and 75,113.82

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Solution

The fourth proportional to 217,301.63, 325,938.15 and 75,113.82 is: 112,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,301.63 : 325,938.15 = 75,113.82 : x
  2. Step 2: Convert to fraction form
    217,301.63/325,938.15 = 75,113.82/x
  3. Step 3: Cross multiply
    217,301.63x = 325,938.15 × 75,113.82
  4. Step 4: Simplify right side
    217,301.63x = 24,482,459,530.23
  5. Step 5: Solve for x
    x = 24,482,459,530.23/217,301.63
  6. Step 6: Final answer
    x = 112,665.79

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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.