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Finding the Fourth Proportional to 133,860.75, 200,726.52 and 77,714.98

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Solution

The fourth proportional to 133,860.75, 200,726.52 and 77,714.98 is: 116,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,860.75 : 200,726.52 = 77,714.98 : x
  2. Step 2: Convert to fraction form
    133,860.75/200,726.52 = 77,714.98/x
  3. Step 3: Cross multiply
    133,860.75x = 200,726.52 × 77,714.98
  4. Step 4: Simplify right side
    133,860.75x = 15,599,457,487.27
  5. Step 5: Solve for x
    x = 15,599,457,487.27/133,860.75
  6. Step 6: Final answer
    x = 116,534.96

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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.