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Finding the Fourth Proportional to 273,431.80, 410,148.66 and 133,070.20

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Solution

The fourth proportional to 273,431.80, 410,148.66 and 133,070.20 is: 199,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,431.80 : 410,148.66 = 133,070.20 : x
  2. Step 2: Convert to fraction form
    273,431.80/410,148.66 = 133,070.20/x
  3. Step 3: Cross multiply
    273,431.80x = 410,148.66 × 133,070.20
  4. Step 4: Simplify right side
    273,431.80x = 54,578,564,215.93
  5. Step 5: Solve for x
    x = 54,578,564,215.93/273,431.80
  6. Step 6: Final answer
    x = 199,605.77

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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.