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Finding the Fourth Proportional to 273,097.61, 410,324.01 and 177,095.91

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Solution

The fourth proportional to 273,097.61, 410,324.01 and 177,095.91 is: 266,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,097.61 : 410,324.01 = 177,095.91 : x
  2. Step 2: Convert to fraction form
    273,097.61/410,324.01 = 177,095.91/x
  3. Step 3: Cross multiply
    273,097.61x = 410,324.01 × 177,095.91
  4. Step 4: Simplify right side
    273,097.61x = 72,666,703,945.80
  5. Step 5: Solve for x
    x = 72,666,703,945.80/273,097.61
  6. Step 6: Final answer
    x = 266,083.27

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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.