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Finding the Fourth Proportional to 114,758.64, 172,099.08 and 43,664.40

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Solution

The fourth proportional to 114,758.64, 172,099.08 and 43,664.40 is: 65,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,758.64 : 172,099.08 = 43,664.40 : x
  2. Step 2: Convert to fraction form
    114,758.64/172,099.08 = 43,664.40/x
  3. Step 3: Cross multiply
    114,758.64x = 172,099.08 × 43,664.40
  4. Step 4: Simplify right side
    114,758.64x = 7,514,603,068.75
  5. Step 5: Solve for x
    x = 7,514,603,068.75/114,758.64
  6. Step 6: Final answer
    x = 65,481.81

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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.