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Finding the Fourth Proportional to 185,000.40, 255,238.23 and 120,440.16

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Solution

The fourth proportional to 185,000.40, 255,238.23 and 120,440.16 is: 166,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,000.40 : 255,238.23 = 120,440.16 : x
  2. Step 2: Convert to fraction form
    185,000.40/255,238.23 = 120,440.16/x
  3. Step 3: Cross multiply
    185,000.40x = 255,238.23 × 120,440.16
  4. Step 4: Simplify right side
    185,000.40x = 30,740,933,259.32
  5. Step 5: Solve for x
    x = 30,740,933,259.32/185,000.40
  6. Step 6: Final answer
    x = 166,166.85

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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.