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Finding the Fourth Proportional to 165,212.40, 247,828.04 and 46,874.40

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Solution

The fourth proportional to 165,212.40, 247,828.04 and 46,874.40 is: 70,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,212.40 : 247,828.04 = 46,874.40 : x
  2. Step 2: Convert to fraction form
    165,212.40/247,828.04 = 46,874.40/x
  3. Step 3: Cross multiply
    165,212.40x = 247,828.04 × 46,874.40
  4. Step 4: Simplify right side
    165,212.40x = 11,616,790,678.18
  5. Step 5: Solve for x
    x = 11,616,790,678.18/165,212.40
  6. Step 6: Final answer
    x = 70,314.28

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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.