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Finding the Fourth Proportional to 294,068.88, 405,907.56 and 166,829.04

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Solution

The fourth proportional to 294,068.88, 405,907.56 and 166,829.04 is: 230,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,068.88 : 405,907.56 = 166,829.04 : x
  2. Step 2: Convert to fraction form
    294,068.88/405,907.56 = 166,829.04/x
  3. Step 3: Cross multiply
    294,068.88x = 405,907.56 × 166,829.04
  4. Step 4: Simplify right side
    294,068.88x = 67,717,168,563.54
  5. Step 5: Solve for x
    x = 67,717,168,563.54/294,068.88
  6. Step 6: Final answer
    x = 230,276.55

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Why These Related Problems?

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