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Finding the Fourth Proportional to 282,819.37, 390,267.65 and 166,514.48

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Solution

The fourth proportional to 282,819.37, 390,267.65 and 166,514.48 is: 229,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,819.37 : 390,267.65 = 166,514.48 : x
  2. Step 2: Convert to fraction form
    282,819.37/390,267.65 = 166,514.48/x
  3. Step 3: Cross multiply
    282,819.37x = 390,267.65 × 166,514.48
  4. Step 4: Simplify right side
    282,819.37x = 64,985,214,872.12
  5. Step 5: Solve for x
    x = 64,985,214,872.12/282,819.37
  6. Step 6: Final answer
    x = 229,776.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.