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Finding the Fourth Proportional to 356,734.20, 535,101.30 and 146,263.80

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Solution

The fourth proportional to 356,734.20, 535,101.30 and 146,263.80 is: 219,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,734.20 : 535,101.30 = 146,263.80 : x
  2. Step 2: Convert to fraction form
    356,734.20/535,101.30 = 146,263.80/x
  3. Step 3: Cross multiply
    356,734.20x = 535,101.30 × 146,263.80
  4. Step 4: Simplify right side
    356,734.20x = 78,265,949,522.94
  5. Step 5: Solve for x
    x = 78,265,949,522.94/356,734.20
  6. Step 6: Final answer
    x = 219,395.70

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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.