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Finding the Fourth Proportional to 205,714.58, 308,460.91 and 93,333.47

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Solution

The fourth proportional to 205,714.58, 308,460.91 and 93,333.47 is: 139,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.58 : 308,460.91 = 93,333.47 : x
  2. Step 2: Convert to fraction form
    205,714.58/308,460.91 = 93,333.47/x
  3. Step 3: Cross multiply
    205,714.58x = 308,460.91 × 93,333.47
  4. Step 4: Simplify right side
    205,714.58x = 28,789,727,089.66
  5. Step 5: Solve for x
    x = 28,789,727,089.66/205,714.58
  6. Step 6: Final answer
    x = 139,949.86

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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.