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Finding the Fourth Proportional to 196,902.60, 295,281 and 154,864.50

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Solution

The fourth proportional to 196,902.60, 295,281 and 154,864.50 is: 232,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,902.60 : 295,281 = 154,864.50 : x
  2. Step 2: Convert to fraction form
    196,902.60/295,281 = 154,864.50/x
  3. Step 3: Cross multiply
    196,902.60x = 295,281 × 154,864.50
  4. Step 4: Simplify right side
    196,902.60x = 45,728,544,424.50
  5. Step 5: Solve for x
    x = 45,728,544,424.50/196,902.60
  6. Step 6: Final answer
    x = 232,239.41

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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.