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Finding the Fourth Proportional to 147,675.80, 221,546.10 and 72,831.80

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Solution

The fourth proportional to 147,675.80, 221,546.10 and 72,831.80 is: 109,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,675.80 : 221,546.10 = 72,831.80 : x
  2. Step 2: Convert to fraction form
    147,675.80/221,546.10 = 72,831.80/x
  3. Step 3: Cross multiply
    147,675.80x = 221,546.10 × 72,831.80
  4. Step 4: Simplify right side
    147,675.80x = 16,135,601,245.98
  5. Step 5: Solve for x
    x = 16,135,601,245.98/147,675.80
  6. Step 6: Final answer
    x = 109,263.68

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Why These Related Problems?

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