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Finding the Fourth Proportional to 215,088.40, 296,821.02 and 119,589.40

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Solution

The fourth proportional to 215,088.40, 296,821.02 and 119,589.40 is: 165,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,088.40 : 296,821.02 = 119,589.40 : x
  2. Step 2: Convert to fraction form
    215,088.40/296,821.02 = 119,589.40/x
  3. Step 3: Cross multiply
    215,088.40x = 296,821.02 × 119,589.40
  4. Step 4: Simplify right side
    215,088.40x = 35,496,647,689.19
  5. Step 5: Solve for x
    x = 35,496,647,689.19/215,088.40
  6. Step 6: Final answer
    x = 165,032.83

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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.