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Finding the Fourth Proportional to 196,828.80, 294,805.80 and 152,311.20

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Solution

The fourth proportional to 196,828.80, 294,805.80 and 152,311.20 is: 228,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,828.80 : 294,805.80 = 152,311.20 : x
  2. Step 2: Convert to fraction form
    196,828.80/294,805.80 = 152,311.20/x
  3. Step 3: Cross multiply
    196,828.80x = 294,805.80 × 152,311.20
  4. Step 4: Simplify right side
    196,828.80x = 44,902,225,164.96
  5. Step 5: Solve for x
    x = 44,902,225,164.96/196,828.80
  6. Step 6: Final answer
    x = 228,128.33

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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.