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Finding the Fourth Proportional to 221,649.66, 305,977.23 and 141,187.50

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Solution

The fourth proportional to 221,649.66, 305,977.23 and 141,187.50 is: 194,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,649.66 : 305,977.23 = 141,187.50 : x
  2. Step 2: Convert to fraction form
    221,649.66/305,977.23 = 141,187.50/x
  3. Step 3: Cross multiply
    221,649.66x = 305,977.23 × 141,187.50
  4. Step 4: Simplify right side
    221,649.66x = 43,200,160,160.63
  5. Step 5: Solve for x
    x = 43,200,160,160.63/221,649.66
  6. Step 6: Final answer
    x = 194,902.89

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Why These Related Problems?

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