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Finding the Fourth Proportional to 173,814.32, 260,749.68 and 53,843.24

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Solution

The fourth proportional to 173,814.32, 260,749.68 and 53,843.24 is: 80,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,814.32 : 260,749.68 = 53,843.24 : x
  2. Step 2: Convert to fraction form
    173,814.32/260,749.68 = 53,843.24/x
  3. Step 3: Cross multiply
    173,814.32x = 260,749.68 × 53,843.24
  4. Step 4: Simplify right side
    173,814.32x = 14,039,607,600.16
  5. Step 5: Solve for x
    x = 14,039,607,600.16/173,814.32
  6. Step 6: Final answer
    x = 80,773.60

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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.