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Finding the Fourth Proportional to 129,383.64, 178,506.72 and 105,469.20

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Solution

The fourth proportional to 129,383.64, 178,506.72 and 105,469.20 is: 145,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,383.64 : 178,506.72 = 105,469.20 : x
  2. Step 2: Convert to fraction form
    129,383.64/178,506.72 = 105,469.20/x
  3. Step 3: Cross multiply
    129,383.64x = 178,506.72 × 105,469.20
  4. Step 4: Simplify right side
    129,383.64x = 18,826,960,953.02
  5. Step 5: Solve for x
    x = 18,826,960,953.02/129,383.64
  6. Step 6: Final answer
    x = 145,512.69

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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.