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Finding the Fourth Proportional to 215,143.71, 296,894.10 and 119,648.36

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Solution

The fourth proportional to 215,143.71, 296,894.10 and 119,648.36 is: 165,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,143.71 : 296,894.10 = 119,648.36 : x
  2. Step 2: Convert to fraction form
    215,143.71/296,894.10 = 119,648.36/x
  3. Step 3: Cross multiply
    215,143.71x = 296,894.10 × 119,648.36
  4. Step 4: Simplify right side
    215,143.71x = 35,522,890,674.21
  5. Step 5: Solve for x
    x = 35,522,890,674.21/215,143.71
  6. Step 6: Final answer
    x = 165,112.38

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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.