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Finding the Fourth Proportional to 165,635.50, 248,492.40 and 54,827.50

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Solution

The fourth proportional to 165,635.50, 248,492.40 and 54,827.50 is: 82,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,635.50 : 248,492.40 = 54,827.50 : x
  2. Step 2: Convert to fraction form
    165,635.50/248,492.40 = 54,827.50/x
  3. Step 3: Cross multiply
    165,635.50x = 248,492.40 × 54,827.50
  4. Step 4: Simplify right side
    165,635.50x = 13,624,217,061
  5. Step 5: Solve for x
    x = 13,624,217,061/165,635.50
  6. Step 6: Final answer
    x = 82,254.21

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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.