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Finding the Fourth Proportional to 145,220.10, 217,830.15 and 133,847.70

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Solution

The fourth proportional to 145,220.10, 217,830.15 and 133,847.70 is: 200,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220.10 : 217,830.15 = 133,847.70 : x
  2. Step 2: Convert to fraction form
    145,220.10/217,830.15 = 133,847.70/x
  3. Step 3: Cross multiply
    145,220.10x = 217,830.15 × 133,847.70
  4. Step 4: Simplify right side
    145,220.10x = 29,156,064,568.16
  5. Step 5: Solve for x
    x = 29,156,064,568.16/145,220.10
  6. Step 6: Final answer
    x = 200,771.55

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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.