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Finding the Fourth Proportional to 215,989.32, 323,721.32 and 152,827.65

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Solution

The fourth proportional to 215,989.32, 323,721.32 and 152,827.65 is: 229,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,989.32 : 323,721.32 = 152,827.65 : x
  2. Step 2: Convert to fraction form
    215,989.32/323,721.32 = 152,827.65/x
  3. Step 3: Cross multiply
    215,989.32x = 323,721.32 × 152,827.65
  4. Step 4: Simplify right side
    215,989.32x = 49,473,568,590.50
  5. Step 5: Solve for x
    x = 49,473,568,590.50/215,989.32
  6. Step 6: Final answer
    x = 229,055.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.