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Finding the Fourth Proportional to 264,835.50, 397,256.88 and 146,737.50

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Solution

The fourth proportional to 264,835.50, 397,256.88 and 146,737.50 is: 220,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,835.50 : 397,256.88 = 146,737.50 : x
  2. Step 2: Convert to fraction form
    264,835.50/397,256.88 = 146,737.50/x
  3. Step 3: Cross multiply
    264,835.50x = 397,256.88 × 146,737.50
  4. Step 4: Simplify right side
    264,835.50x = 58,292,481,429
  5. Step 5: Solve for x
    x = 58,292,481,429/264,835.50
  6. Step 6: Final answer
    x = 220,108.26

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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.