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Finding the Fourth Proportional to 145,915.20, 201,366.08 and 82,252.98

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Solution

The fourth proportional to 145,915.20, 201,366.08 and 82,252.98 is: 113,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,915.20 : 201,366.08 = 82,252.98 : x
  2. Step 2: Convert to fraction form
    145,915.20/201,366.08 = 82,252.98/x
  3. Step 3: Cross multiply
    145,915.20x = 201,366.08 × 82,252.98
  4. Step 4: Simplify right side
    145,915.20x = 16,562,959,739.65
  5. Step 5: Solve for x
    x = 16,562,959,739.65/145,915.20
  6. Step 6: Final answer
    x = 113,510.86

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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.