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Finding the Fourth Proportional to 109,916.80, 165,069.60 and 85,017.40

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Solution

The fourth proportional to 109,916.80, 165,069.60 and 85,017.40 is: 127,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.80 : 165,069.60 = 85,017.40 : x
  2. Step 2: Convert to fraction form
    109,916.80/165,069.60 = 85,017.40/x
  3. Step 3: Cross multiply
    109,916.80x = 165,069.60 × 85,017.40
  4. Step 4: Simplify right side
    109,916.80x = 14,033,788,211.04
  5. Step 5: Solve for x
    x = 14,033,788,211.04/109,916.80
  6. Step 6: Final answer
    x = 127,676.46

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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.