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Finding the Fourth Proportional to 302,854.68, 417,942.26 and 166,893.48

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Solution

The fourth proportional to 302,854.68, 417,942.26 and 166,893.48 is: 230,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,854.68 : 417,942.26 = 166,893.48 : x
  2. Step 2: Convert to fraction form
    302,854.68/417,942.26 = 166,893.48/x
  3. Step 3: Cross multiply
    302,854.68x = 417,942.26 × 166,893.48
  4. Step 4: Simplify right side
    302,854.68x = 69,751,838,210.46
  5. Step 5: Solve for x
    x = 69,751,838,210.46/302,854.68
  6. Step 6: Final answer
    x = 230,314.55

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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.