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Finding the Fourth Proportional to 213,284.70, 294,346.92 and 117,792.96

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Solution

The fourth proportional to 213,284.70, 294,346.92 and 117,792.96 is: 162,562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,284.70 : 294,346.92 = 117,792.96 : x
  2. Step 2: Convert to fraction form
    213,284.70/294,346.92 = 117,792.96/x
  3. Step 3: Cross multiply
    213,284.70x = 294,346.92 × 117,792.96
  4. Step 4: Simplify right side
    213,284.70x = 34,671,994,973.68
  5. Step 5: Solve for x
    x = 34,671,994,973.68/213,284.70
  6. Step 6: Final answer
    x = 162,562.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.