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Finding the Fourth Proportional to 216,482.91, 298,733.54 and 119,680.97

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Solution

The fourth proportional to 216,482.91, 298,733.54 and 119,680.97 is: 165,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,482.91 : 298,733.54 = 119,680.97 : x
  2. Step 2: Convert to fraction form
    216,482.91/298,733.54 = 119,680.97/x
  3. Step 3: Cross multiply
    216,482.91x = 298,733.54 × 119,680.97
  4. Step 4: Simplify right side
    216,482.91x = 35,752,718,345.07
  5. Step 5: Solve for x
    x = 35,752,718,345.07/216,482.91
  6. Step 6: Final answer
    x = 165,152.62

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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.