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Finding the Fourth Proportional to 273,149, 409,841.70 and 146,641.64

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Solution

The fourth proportional to 273,149, 409,841.70 and 146,641.64 is: 220,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,149 : 409,841.70 = 146,641.64 : x
  2. Step 2: Convert to fraction form
    273,149/409,841.70 = 146,641.64/x
  3. Step 3: Cross multiply
    273,149x = 409,841.70 × 146,641.64
  4. Step 4: Simplify right side
    273,149x = 60,099,859,028.39
  5. Step 5: Solve for x
    x = 60,099,859,028.39/273,149
  6. Step 6: Final answer
    x = 220,025.92

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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.