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Finding the Fourth Proportional to 363,897.50, 545,929.34 and 111,213.95

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Solution

The fourth proportional to 363,897.50, 545,929.34 and 111,213.95 is: 166,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,897.50 : 545,929.34 = 111,213.95 : x
  2. Step 2: Convert to fraction form
    363,897.50/545,929.34 = 111,213.95/x
  3. Step 3: Cross multiply
    363,897.50x = 545,929.34 × 111,213.95
  4. Step 4: Simplify right side
    363,897.50x = 60,714,955,036.58
  5. Step 5: Solve for x
    x = 60,714,955,036.58/363,897.50
  6. Step 6: Final answer
    x = 166,846.31

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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.