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Finding the Fourth Proportional to 164,561.70, 246,814.34 and 52,216.90

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Solution

The fourth proportional to 164,561.70, 246,814.34 and 52,216.90 is: 78,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,561.70 : 246,814.34 = 52,216.90 : x
  2. Step 2: Convert to fraction form
    164,561.70/246,814.34 = 52,216.90/x
  3. Step 3: Cross multiply
    164,561.70x = 246,814.34 × 52,216.90
  4. Step 4: Simplify right side
    164,561.70x = 12,887,879,710.35
  5. Step 5: Solve for x
    x = 12,887,879,710.35/164,561.70
  6. Step 6: Final answer
    x = 78,316.40

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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.