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Finding the Fourth Proportional to 273,012.57, 409,524.93 and 93,097.80

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Solution

The fourth proportional to 273,012.57, 409,524.93 and 93,097.80 is: 139,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,012.57 : 409,524.93 = 93,097.80 : x
  2. Step 2: Convert to fraction form
    273,012.57/409,524.93 = 93,097.80/x
  3. Step 3: Cross multiply
    273,012.57x = 409,524.93 × 93,097.80
  4. Step 4: Simplify right side
    273,012.57x = 38,125,870,028.15
  5. Step 5: Solve for x
    x = 38,125,870,028.15/273,012.57
  6. Step 6: Final answer
    x = 139,648.77

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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.