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Finding the Fourth Proportional to 188,492.96, 282,739.56 and 88,579.84

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Solution

The fourth proportional to 188,492.96, 282,739.56 and 88,579.84 is: 132,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,492.96 : 282,739.56 = 88,579.84 : x
  2. Step 2: Convert to fraction form
    188,492.96/282,739.56 = 88,579.84/x
  3. Step 3: Cross multiply
    188,492.96x = 282,739.56 × 88,579.84
  4. Step 4: Simplify right side
    188,492.96x = 25,045,024,986.47
  5. Step 5: Solve for x
    x = 25,045,024,986.47/188,492.96
  6. Step 6: Final answer
    x = 132,869.82

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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.