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Finding the Fourth Proportional to 109,404.30, 164,111.85 and 56,916.30

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Solution

The fourth proportional to 109,404.30, 164,111.85 and 56,916.30 is: 85,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,404.30 : 164,111.85 = 56,916.30 : x
  2. Step 2: Convert to fraction form
    109,404.30/164,111.85 = 56,916.30/x
  3. Step 3: Cross multiply
    109,404.30x = 164,111.85 × 56,916.30
  4. Step 4: Simplify right side
    109,404.30x = 9,340,639,288.16
  5. Step 5: Solve for x
    x = 9,340,639,288.16/109,404.30
  6. Step 6: Final answer
    x = 85,377.26

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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.