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Finding the Fourth Proportional to 205,094.34, 283,029.66 and 114,444.90

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Solution

The fourth proportional to 205,094.34, 283,029.66 and 114,444.90 is: 157,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,094.34 : 283,029.66 = 114,444.90 : x
  2. Step 2: Convert to fraction form
    205,094.34/283,029.66 = 114,444.90/x
  3. Step 3: Cross multiply
    205,094.34x = 283,029.66 × 114,444.90
  4. Step 4: Simplify right side
    205,094.34x = 32,391,301,135.73
  5. Step 5: Solve for x
    x = 32,391,301,135.73/205,094.34
  6. Step 6: Final answer
    x = 157,933.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.