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Finding the Fourth Proportional to 209,792.64, 289,414.64 and 141,833.48

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Solution

The fourth proportional to 209,792.64, 289,414.64 and 141,833.48 is: 195,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.64 : 289,414.64 = 141,833.48 : x
  2. Step 2: Convert to fraction form
    209,792.64/289,414.64 = 141,833.48/x
  3. Step 3: Cross multiply
    209,792.64x = 289,414.64 × 141,833.48
  4. Step 4: Simplify right side
    209,792.64x = 41,048,685,554.15
  5. Step 5: Solve for x
    x = 41,048,685,554.15/209,792.64
  6. Step 6: Final answer
    x = 195,663.13

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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.