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Finding the Fourth Proportional to 185,842.58, 278,782.26 and 59,451.08

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Solution

The fourth proportional to 185,842.58, 278,782.26 and 59,451.08 is: 89,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,842.58 : 278,782.26 = 59,451.08 : x
  2. Step 2: Convert to fraction form
    185,842.58/278,782.26 = 59,451.08/x
  3. Step 3: Cross multiply
    185,842.58x = 278,782.26 × 59,451.08
  4. Step 4: Simplify right side
    185,842.58x = 16,573,906,441.84
  5. Step 5: Solve for x
    x = 16,573,906,441.84/185,842.58
  6. Step 6: Final answer
    x = 89,182.50

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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.