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Finding the Fourth Proportional to 133,993.08, 200,726.91 and 77,714.96

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Solution

The fourth proportional to 133,993.08, 200,726.91 and 77,714.96 is: 116,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,993.08 : 200,726.91 = 77,714.96 : x
  2. Step 2: Convert to fraction form
    133,993.08/200,726.91 = 77,714.96/x
  3. Step 3: Cross multiply
    133,993.08x = 200,726.91 × 77,714.96
  4. Step 4: Simplify right side
    133,993.08x = 15,599,482,777.94
  5. Step 5: Solve for x
    x = 15,599,482,777.94/133,993.08
  6. Step 6: Final answer
    x = 116,420.06

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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.