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Finding the Fourth Proportional to 364,057.20, 545,891.40 and 153,457.20

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Solution

The fourth proportional to 364,057.20, 545,891.40 and 153,457.20 is: 230,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057.20 : 545,891.40 = 153,457.20 : x
  2. Step 2: Convert to fraction form
    364,057.20/545,891.40 = 153,457.20/x
  3. Step 3: Cross multiply
    364,057.20x = 545,891.40 × 153,457.20
  4. Step 4: Simplify right side
    364,057.20x = 83,770,965,748.08
  5. Step 5: Solve for x
    x = 83,770,965,748.08/364,057.20
  6. Step 6: Final answer
    x = 230,103.86

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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.