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Finding the Fourth Proportional to 165,737.50, 248,606.26 and 54,929.50

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Solution

The fourth proportional to 165,737.50, 248,606.26 and 54,929.50 is: 82,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,737.50 : 248,606.26 = 54,929.50 : x
  2. Step 2: Convert to fraction form
    165,737.50/248,606.26 = 54,929.50/x
  3. Step 3: Cross multiply
    165,737.50x = 248,606.26 × 54,929.50
  4. Step 4: Simplify right side
    165,737.50x = 13,655,817,558.67
  5. Step 5: Solve for x
    x = 13,655,817,558.67/165,737.50
  6. Step 6: Final answer
    x = 82,394.25

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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.