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Finding the Fourth Proportional to 286,706.84, 430,112.09 and 118,133.38

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Solution

The fourth proportional to 286,706.84, 430,112.09 and 118,133.38 is: 177,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,706.84 : 430,112.09 = 118,133.38 : x
  2. Step 2: Convert to fraction form
    286,706.84/430,112.09 = 118,133.38/x
  3. Step 3: Cross multiply
    286,706.84x = 430,112.09 × 118,133.38
  4. Step 4: Simplify right side
    286,706.84x = 50,810,595,803.54
  5. Step 5: Solve for x
    x = 50,810,595,803.54/286,706.84
  6. Step 6: Final answer
    x = 177,221.43

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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.