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Finding the Fourth Proportional to 218,678.16, 326,819.08 and 159,638.16

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Solution

The fourth proportional to 218,678.16, 326,819.08 and 159,638.16 is: 238,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,678.16 : 326,819.08 = 159,638.16 : x
  2. Step 2: Convert to fraction form
    218,678.16/326,819.08 = 159,638.16/x
  3. Step 3: Cross multiply
    218,678.16x = 326,819.08 × 159,638.16
  4. Step 4: Simplify right side
    218,678.16x = 52,172,796,584.09
  5. Step 5: Solve for x
    x = 52,172,796,584.09/218,678.16
  6. Step 6: Final answer
    x = 238,582.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.