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Finding the Fourth Proportional to 364,043.60, 545,946.54 and 120,819.34

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Solution

The fourth proportional to 364,043.60, 545,946.54 and 120,819.34 is: 181,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,043.60 : 545,946.54 = 120,819.34 : x
  2. Step 2: Convert to fraction form
    364,043.60/545,946.54 = 120,819.34/x
  3. Step 3: Cross multiply
    364,043.60x = 545,946.54 × 120,819.34
  4. Step 4: Simplify right side
    364,043.60x = 65,960,900,638.08
  5. Step 5: Solve for x
    x = 65,960,900,638.08/364,043.60
  6. Step 6: Final answer
    x = 181,189.56

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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.