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Finding the Fourth Proportional to 129,012.34, 178,027.20 and 72,412.78

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Solution

The fourth proportional to 129,012.34, 178,027.20 and 72,412.78 is: 99,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,012.34 : 178,027.20 = 72,412.78 : x
  2. Step 2: Convert to fraction form
    129,012.34/178,027.20 = 72,412.78/x
  3. Step 3: Cross multiply
    129,012.34x = 178,027.20 × 72,412.78
  4. Step 4: Simplify right side
    129,012.34x = 12,891,444,467.62
  5. Step 5: Solve for x
    x = 12,891,444,467.62/129,012.34
  6. Step 6: Final answer
    x = 99,924.12

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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.