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Finding the Fourth Proportional to 364,147.20, 546,297.60 and 153,676.80

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Solution

The fourth proportional to 364,147.20, 546,297.60 and 153,676.80 is: 230,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,147.20 : 546,297.60 = 153,676.80 : x
  2. Step 2: Convert to fraction form
    364,147.20/546,297.60 = 153,676.80/x
  3. Step 3: Cross multiply
    364,147.20x = 546,297.60 × 153,676.80
  4. Step 4: Simplify right side
    364,147.20x = 83,953,267,015.68
  5. Step 5: Solve for x
    x = 83,953,267,015.68/364,147.20
  6. Step 6: Final answer
    x = 230,547.61

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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.