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Finding the Fourth Proportional to 273,642.30, 410,504.49 and 96,118.02

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Solution

The fourth proportional to 273,642.30, 410,504.49 and 96,118.02 is: 144,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,642.30 : 410,504.49 = 96,118.02 : x
  2. Step 2: Convert to fraction form
    273,642.30/410,504.49 = 96,118.02/x
  3. Step 3: Cross multiply
    273,642.30x = 410,504.49 × 96,118.02
  4. Step 4: Simplify right side
    273,642.30x = 39,456,878,779.91
  5. Step 5: Solve for x
    x = 39,456,878,779.91/273,642.30
  6. Step 6: Final answer
    x = 144,191.45

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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.