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Finding the Fourth Proportional to 199,852.80, 299,744.64 and 75,194.88

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Solution

The fourth proportional to 199,852.80, 299,744.64 and 75,194.88 is: 112,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,852.80 : 299,744.64 = 75,194.88 : x
  2. Step 2: Convert to fraction form
    199,852.80/299,744.64 = 75,194.88/x
  3. Step 3: Cross multiply
    199,852.80x = 299,744.64 × 75,194.88
  4. Step 4: Simplify right side
    199,852.80x = 22,539,262,235.44
  5. Step 5: Solve for x
    x = 22,539,262,235.44/199,852.80
  6. Step 6: Final answer
    x = 112,779.32

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1.5x scale

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.