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Finding the Fourth Proportional to 358,211.56, 537,273.24 and 147,822.16

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Solution

The fourth proportional to 358,211.56, 537,273.24 and 147,822.16 is: 221,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,211.56 : 537,273.24 = 147,822.16 : x
  2. Step 2: Convert to fraction form
    358,211.56/537,273.24 = 147,822.16/x
  3. Step 3: Cross multiply
    358,211.56x = 537,273.24 × 147,822.16
  4. Step 4: Simplify right side
    358,211.56x = 79,420,890,847.00
  5. Step 5: Solve for x
    x = 79,420,890,847.00/358,211.56
  6. Step 6: Final answer
    x = 221,715.04

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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.