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Finding the Fourth Proportional to 282,915.70, 424,361.40 and 95,927.20

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Solution

The fourth proportional to 282,915.70, 424,361.40 and 95,927.20 is: 143,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,915.70 : 424,361.40 = 95,927.20 : x
  2. Step 2: Convert to fraction form
    282,915.70/424,361.40 = 95,927.20/x
  3. Step 3: Cross multiply
    282,915.70x = 424,361.40 × 95,927.20
  4. Step 4: Simplify right side
    282,915.70x = 40,707,800,890.08
  5. Step 5: Solve for x
    x = 40,707,800,890.08/282,915.70
  6. Step 6: Final answer
    x = 143,886.68

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Why These Related Problems?

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