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Finding the Fourth Proportional to 133,823.50, 200,813.02 and 59,951.50

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Solution

The fourth proportional to 133,823.50, 200,813.02 and 59,951.50 is: 89,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.50 : 200,813.02 = 59,951.50 : x
  2. Step 2: Convert to fraction form
    133,823.50/200,813.02 = 59,951.50/x
  3. Step 3: Cross multiply
    133,823.50x = 200,813.02 × 59,951.50
  4. Step 4: Simplify right side
    133,823.50x = 12,039,041,768.53
  5. Step 5: Solve for x
    x = 12,039,041,768.53/133,823.50
  6. Step 6: Final answer
    x = 89,962.09

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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.