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Finding the Fourth Proportional to 364,676.32, 546,896.24 and 121,452.64

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Solution

The fourth proportional to 364,676.32, 546,896.24 and 121,452.64 is: 182,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,676.32 : 546,896.24 = 121,452.64 : x
  2. Step 2: Convert to fraction form
    364,676.32/546,896.24 = 121,452.64/x
  3. Step 3: Cross multiply
    364,676.32x = 546,896.24 × 121,452.64
  4. Step 4: Simplify right side
    364,676.32x = 66,421,992,154.07
  5. Step 5: Solve for x
    x = 66,421,992,154.07/364,676.32
  6. Step 6: Final answer
    x = 182,139.58

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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.