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Finding the Fourth Proportional to 148,872.34, 205,453.02 and 85,208.68

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Solution

The fourth proportional to 148,872.34, 205,453.02 and 85,208.68 is: 117,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,872.34 : 205,453.02 = 85,208.68 : x
  2. Step 2: Convert to fraction form
    148,872.34/205,453.02 = 85,208.68/x
  3. Step 3: Cross multiply
    148,872.34x = 205,453.02 × 85,208.68
  4. Step 4: Simplify right side
    148,872.34x = 17,506,380,636.21
  5. Step 5: Solve for x
    x = 17,506,380,636.21/148,872.34
  6. Step 6: Final answer
    x = 117,593.24

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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.