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Finding the Fourth Proportional to 229,118.63, 343,798.22 and 166,456.82

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Solution

The fourth proportional to 229,118.63, 343,798.22 and 166,456.82 is: 249,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,118.63 : 343,798.22 = 166,456.82 : x
  2. Step 2: Convert to fraction form
    229,118.63/343,798.22 = 166,456.82/x
  3. Step 3: Cross multiply
    229,118.63x = 343,798.22 × 166,456.82
  4. Step 4: Simplify right side
    229,118.63x = 57,227,559,698.50
  5. Step 5: Solve for x
    x = 57,227,559,698.50/229,118.63
  6. Step 6: Final answer
    x = 249,772.62

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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.