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Finding the Fourth Proportional to 230,242.04, 317,756.76 and 134,743.04

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Solution

The fourth proportional to 230,242.04, 317,756.76 and 134,743.04 is: 185,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,242.04 : 317,756.76 = 134,743.04 : x
  2. Step 2: Convert to fraction form
    230,242.04/317,756.76 = 134,743.04/x
  3. Step 3: Cross multiply
    230,242.04x = 317,756.76 × 134,743.04
  4. Step 4: Simplify right side
    230,242.04x = 42,815,511,822.95
  5. Step 5: Solve for x
    x = 42,815,511,822.95/230,242.04
  6. Step 6: Final answer
    x = 185,958.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.