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Finding the Fourth Proportional to 165,735, 248,602.50 and 54,927

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Solution

The fourth proportional to 165,735, 248,602.50 and 54,927 is: 82,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,735 : 248,602.50 = 54,927 : x
  2. Step 2: Convert to fraction form
    165,735/248,602.50 = 54,927/x
  3. Step 3: Cross multiply
    165,735x = 248,602.50 × 54,927
  4. Step 4: Simplify right side
    165,735x = 13,654,989,517.50
  5. Step 5: Solve for x
    x = 13,654,989,517.50/165,735
  6. Step 6: Final answer
    x = 82,390.50

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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.