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Finding the Fourth Proportional to 213,789.58, 320,594.15 and 64,051.16

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Solution

The fourth proportional to 213,789.58, 320,594.15 and 64,051.16 is: 96,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,789.58 : 320,594.15 = 64,051.16 : x
  2. Step 2: Convert to fraction form
    213,789.58/320,594.15 = 64,051.16/x
  3. Step 3: Cross multiply
    213,789.58x = 320,594.15 × 64,051.16
  4. Step 4: Simplify right side
    213,789.58x = 20,534,425,753.87
  5. Step 5: Solve for x
    x = 20,534,425,753.87/213,789.58
  6. Step 6: Final answer
    x = 96,049.70

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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.