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Finding the Fourth Proportional to 252,940, 379,225.54 and 146,173.45

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Solution

The fourth proportional to 252,940, 379,225.54 and 146,173.45 is: 219,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,940 : 379,225.54 = 146,173.45 : x
  2. Step 2: Convert to fraction form
    252,940/379,225.54 = 146,173.45/x
  3. Step 3: Cross multiply
    252,940x = 379,225.54 × 146,173.45
  4. Step 4: Simplify right side
    252,940x = 55,432,705,509.91
  5. Step 5: Solve for x
    x = 55,432,705,509.91/252,940
  6. Step 6: Final answer
    x = 219,153.58

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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.