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Finding the Fourth Proportional to 164,399.76, 246,619.08 and 52,085.16

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Solution

The fourth proportional to 164,399.76, 246,619.08 and 52,085.16 is: 78,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,399.76 : 246,619.08 = 52,085.16 : x
  2. Step 2: Convert to fraction form
    164,399.76/246,619.08 = 52,085.16/x
  3. Step 3: Cross multiply
    164,399.76x = 246,619.08 × 52,085.16
  4. Step 4: Simplify right side
    164,399.76x = 12,845,194,240.85
  5. Step 5: Solve for x
    x = 12,845,194,240.85/164,399.76
  6. Step 6: Final answer
    x = 78,133.90

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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.