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Finding the Fourth Proportional to 213,797.16, 320,600.94 and 113,938.74

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Solution

The fourth proportional to 213,797.16, 320,600.94 and 113,938.74 is: 170,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,797.16 : 320,600.94 = 113,938.74 : x
  2. Step 2: Convert to fraction form
    213,797.16/320,600.94 = 113,938.74/x
  3. Step 3: Cross multiply
    213,797.16x = 320,600.94 × 113,938.74
  4. Step 4: Simplify right side
    213,797.16x = 36,528,867,146.42
  5. Step 5: Solve for x
    x = 36,528,867,146.42/213,797.16
  6. Step 6: Final answer
    x = 170,857.59

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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.