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Finding the Fourth Proportional to 211,754.42, 317,755.56 and 78,726.50

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Solution

The fourth proportional to 211,754.42, 317,755.56 and 78,726.50 is: 118,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,754.42 : 317,755.56 = 78,726.50 : x
  2. Step 2: Convert to fraction form
    211,754.42/317,755.56 = 78,726.50/x
  3. Step 3: Cross multiply
    211,754.42x = 317,755.56 × 78,726.50
  4. Step 4: Simplify right side
    211,754.42x = 25,015,783,094.34
  5. Step 5: Solve for x
    x = 25,015,783,094.34/211,754.42
  6. Step 6: Final answer
    x = 118,135.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.