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Finding the Fourth Proportional to 132,312.12, 198,405.46 and 51,297

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Solution

The fourth proportional to 132,312.12, 198,405.46 and 51,297 is: 76,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,312.12 : 198,405.46 = 51,297 : x
  2. Step 2: Convert to fraction form
    132,312.12/198,405.46 = 51,297/x
  3. Step 3: Cross multiply
    132,312.12x = 198,405.46 × 51,297
  4. Step 4: Simplify right side
    132,312.12x = 10,177,604,881.62
  5. Step 5: Solve for x
    x = 10,177,604,881.62/132,312.12
  6. Step 6: Final answer
    x = 76,921.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.