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Finding the Fourth Proportional to 273,880.86, 410,539.41 and 133,465.74

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Solution

The fourth proportional to 273,880.86, 410,539.41 and 133,465.74 is: 200,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,880.86 : 410,539.41 = 133,465.74 : x
  2. Step 2: Convert to fraction form
    273,880.86/410,539.41 = 133,465.74/x
  3. Step 3: Cross multiply
    273,880.86x = 410,539.41 × 133,465.74
  4. Step 4: Simplify right side
    273,880.86x = 54,792,946,154.81
  5. Step 5: Solve for x
    x = 54,792,946,154.81/273,880.86
  6. Step 6: Final answer
    x = 200,061.25

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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.