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Finding the Fourth Proportional to 164,666.82, 247,394.25 and 105,617.82

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Solution

The fourth proportional to 164,666.82, 247,394.25 and 105,617.82 is: 158,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,666.82 : 247,394.25 = 105,617.82 : x
  2. Step 2: Convert to fraction form
    164,666.82/247,394.25 = 105,617.82/x
  3. Step 3: Cross multiply
    164,666.82x = 247,394.25 × 105,617.82
  4. Step 4: Simplify right side
    164,666.82x = 26,129,241,365.54
  5. Step 5: Solve for x
    x = 26,129,241,365.54/164,666.82
  6. Step 6: Final answer
    x = 158,679.46

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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.