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Finding the Fourth Proportional to 109,916.30, 164,874.45 and 43,358.60

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Solution

The fourth proportional to 109,916.30, 164,874.45 and 43,358.60 is: 65,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.30 : 164,874.45 = 43,358.60 : x
  2. Step 2: Convert to fraction form
    109,916.30/164,874.45 = 43,358.60/x
  3. Step 3: Cross multiply
    109,916.30x = 164,874.45 × 43,358.60
  4. Step 4: Simplify right side
    109,916.30x = 7,148,725,327.77
  5. Step 5: Solve for x
    x = 7,148,725,327.77/109,916.30
  6. Step 6: Final answer
    x = 65,037.90

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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.