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Finding the Fourth Proportional to 230,854, 318,597.96 and 130,271.44

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Solution

The fourth proportional to 230,854, 318,597.96 and 130,271.44 is: 179,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854 : 318,597.96 = 130,271.44 : x
  2. Step 2: Convert to fraction form
    230,854/318,597.96 = 130,271.44/x
  3. Step 3: Cross multiply
    230,854x = 318,597.96 × 130,271.44
  4. Step 4: Simplify right side
    230,854x = 41,504,215,030.26
  5. Step 5: Solve for x
    x = 41,504,215,030.26/230,854
  6. Step 6: Final answer
    x = 179,785.56

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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.