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Finding the Fourth Proportional to 224,429.83, 309,433.03 and 143,724.67

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Solution

The fourth proportional to 224,429.83, 309,433.03 and 143,724.67 is: 198,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429.83 : 309,433.03 = 143,724.67 : x
  2. Step 2: Convert to fraction form
    224,429.83/309,433.03 = 143,724.67/x
  3. Step 3: Cross multiply
    224,429.83x = 309,433.03 × 143,724.67
  4. Step 4: Simplify right side
    224,429.83x = 44,473,160,123.85
  5. Step 5: Solve for x
    x = 44,473,160,123.85/224,429.83
  6. Step 6: Final answer
    x = 198,160.65

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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.