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Finding the Fourth Proportional to 103,951.40, 155,661.42 and 57,152.84

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Solution

The fourth proportional to 103,951.40, 155,661.42 and 57,152.84 is: 85,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,951.40 : 155,661.42 = 57,152.84 : x
  2. Step 2: Convert to fraction form
    103,951.40/155,661.42 = 57,152.84/x
  3. Step 3: Cross multiply
    103,951.40x = 155,661.42 × 57,152.84
  4. Step 4: Simplify right side
    103,951.40x = 8,896,492,231.43
  5. Step 5: Solve for x
    x = 8,896,492,231.43/103,951.40
  6. Step 6: Final answer
    x = 85,583.19

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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.