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Finding the Fourth Proportional to 273,970.94, 410,763.22 and 105,349.59

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Solution

The fourth proportional to 273,970.94, 410,763.22 and 105,349.59 is: 157,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970.94 : 410,763.22 = 105,349.59 : x
  2. Step 2: Convert to fraction form
    273,970.94/410,763.22 = 105,349.59/x
  3. Step 3: Cross multiply
    273,970.94x = 410,763.22 × 105,349.59
  4. Step 4: Simplify right side
    273,970.94x = 43,273,736,550.71
  5. Step 5: Solve for x
    x = 43,273,736,550.71/273,970.94
  6. Step 6: Final answer
    x = 157,950.10

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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.