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Finding the Fourth Proportional to 165,211.40, 247,826.54 and 46,873.40

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Solution

The fourth proportional to 165,211.40, 247,826.54 and 46,873.40 is: 70,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,211.40 : 247,826.54 = 46,873.40 : x
  2. Step 2: Convert to fraction form
    165,211.40/247,826.54 = 46,873.40/x
  3. Step 3: Cross multiply
    165,211.40x = 247,826.54 × 46,873.40
  4. Step 4: Simplify right side
    165,211.40x = 11,616,472,540.04
  5. Step 5: Solve for x
    x = 11,616,472,540.04/165,211.40
  6. Step 6: Final answer
    x = 70,312.78

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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.