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Finding the Fourth Proportional to 213,792.96, 294,954.72 and 164,749.04

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Solution

The fourth proportional to 213,792.96, 294,954.72 and 164,749.04 is: 227,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,792.96 : 294,954.72 = 164,749.04 : x
  2. Step 2: Convert to fraction form
    213,792.96/294,954.72 = 164,749.04/x
  3. Step 3: Cross multiply
    213,792.96x = 294,954.72 × 164,749.04
  4. Step 4: Simplify right side
    213,792.96x = 48,593,506,963.47
  5. Step 5: Solve for x
    x = 48,593,506,963.47/213,792.96
  6. Step 6: Final answer
    x = 227,292.36

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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.