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Finding the Fourth Proportional to 228,816, 342,823.68 and 158,739.84

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Solution

The fourth proportional to 228,816, 342,823.68 and 158,739.84 is: 237,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,816 : 342,823.68 = 158,739.84 : x
  2. Step 2: Convert to fraction form
    228,816/342,823.68 = 158,739.84/x
  3. Step 3: Cross multiply
    228,816x = 342,823.68 × 158,739.84
  4. Step 4: Simplify right side
    228,816x = 54,419,776,111.41
  5. Step 5: Solve for x
    x = 54,419,776,111.41/228,816
  6. Step 6: Final answer
    x = 237,832.04

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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.