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Finding the Fourth Proportional to 129,144.64, 178,147.65 and 120,011.32

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Solution

The fourth proportional to 129,144.64, 178,147.65 and 120,011.32 is: 165,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,144.64 : 178,147.65 = 120,011.32 : x
  2. Step 2: Convert to fraction form
    129,144.64/178,147.65 = 120,011.32/x
  3. Step 3: Cross multiply
    129,144.64x = 178,147.65 × 120,011.32
  4. Step 4: Simplify right side
    129,144.64x = 21,379,734,631.40
  5. Step 5: Solve for x
    x = 21,379,734,631.40/129,144.64
  6. Step 6: Final answer
    x = 165,548.76

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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.