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Finding the Fourth Proportional to 273,813.90, 410,830.20 and 116,153.07

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Solution

The fourth proportional to 273,813.90, 410,830.20 and 116,153.07 is: 174,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,813.90 : 410,830.20 = 116,153.07 : x
  2. Step 2: Convert to fraction form
    273,813.90/410,830.20 = 116,153.07/x
  3. Step 3: Cross multiply
    273,813.90x = 410,830.20 × 116,153.07
  4. Step 4: Simplify right side
    273,813.90x = 47,719,188,978.71
  5. Step 5: Solve for x
    x = 47,719,188,978.71/273,813.90
  6. Step 6: Final answer
    x = 174,275.99

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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.