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Finding the Fourth Proportional to 209,311.78, 289,610.88 and 182,510.14

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Solution

The fourth proportional to 209,311.78, 289,610.88 and 182,510.14 is: 252,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,311.78 : 289,610.88 = 182,510.14 : x
  2. Step 2: Convert to fraction form
    209,311.78/289,610.88 = 182,510.14/x
  3. Step 3: Cross multiply
    209,311.78x = 289,610.88 × 182,510.14
  4. Step 4: Simplify right side
    209,311.78x = 52,856,922,254.32
  5. Step 5: Solve for x
    x = 52,856,922,254.32/209,311.78
  6. Step 6: Final answer
    x = 252,527.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.