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Finding the Fourth Proportional to 148,914, 205,496.69 and 85,247.55

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Solution

The fourth proportional to 148,914, 205,496.69 and 85,247.55 is: 117,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,914 : 205,496.69 = 85,247.55 : x
  2. Step 2: Convert to fraction form
    148,914/205,496.69 = 85,247.55/x
  3. Step 3: Cross multiply
    148,914x = 205,496.69 × 85,247.55
  4. Step 4: Simplify right side
    148,914x = 17,518,088,929.37
  5. Step 5: Solve for x
    x = 17,518,088,929.37/148,914
  6. Step 6: Final answer
    x = 117,638.97

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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.