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Finding the Fourth Proportional to 196,832.80, 294,811.80 and 152,315.20

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Solution

The fourth proportional to 196,832.80, 294,811.80 and 152,315.20 is: 228,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,832.80 : 294,811.80 = 152,315.20 : x
  2. Step 2: Convert to fraction form
    196,832.80/294,811.80 = 152,315.20/x
  3. Step 3: Cross multiply
    196,832.80x = 294,811.80 × 152,315.20
  4. Step 4: Simplify right side
    196,832.80x = 44,904,318,279.36
  5. Step 5: Solve for x
    x = 44,904,318,279.36/196,832.80
  6. Step 6: Final answer
    x = 228,134.33

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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.