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Finding the Fourth Proportional to 100,514.63, 138,715.27 and 55,192.30

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Solution

The fourth proportional to 100,514.63, 138,715.27 and 55,192.30 is: 76,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,514.63 : 138,715.27 = 55,192.30 : x
  2. Step 2: Convert to fraction form
    100,514.63/138,715.27 = 55,192.30/x
  3. Step 3: Cross multiply
    100,514.63x = 138,715.27 × 55,192.30
  4. Step 4: Simplify right side
    100,514.63x = 7,656,014,311.65
  5. Step 5: Solve for x
    x = 7,656,014,311.65/100,514.63
  6. Step 6: Final answer
    x = 76,168.16

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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.