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Finding the Fourth Proportional to 109,734.92, 164,590.41 and 74,423.07

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Solution

The fourth proportional to 109,734.92, 164,590.41 and 74,423.07 is: 111,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734.92 : 164,590.41 = 74,423.07 : x
  2. Step 2: Convert to fraction form
    109,734.92/164,590.41 = 74,423.07/x
  3. Step 3: Cross multiply
    109,734.92x = 164,590.41 × 74,423.07
  4. Step 4: Simplify right side
    109,734.92x = 12,249,323,604.76
  5. Step 5: Solve for x
    x = 12,249,323,604.76/109,734.92
  6. Step 6: Final answer
    x = 111,626.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.