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Finding the Fourth Proportional to 273,641.84, 410,649.61 and 96,148.87

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Solution

The fourth proportional to 273,641.84, 410,649.61 and 96,148.87 is: 144,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,641.84 : 410,649.61 = 96,148.87 : x
  2. Step 2: Convert to fraction form
    273,641.84/410,649.61 = 96,148.87/x
  3. Step 3: Cross multiply
    273,641.84x = 410,649.61 × 96,148.87
  4. Step 4: Simplify right side
    273,641.84x = 39,483,493,433.45
  5. Step 5: Solve for x
    x = 39,483,493,433.45/273,641.84
  6. Step 6: Final answer
    x = 144,288.95

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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.