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Finding the Fourth Proportional to 205,123.32, 283,096.14 and 119,063.88

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Solution

The fourth proportional to 205,123.32, 283,096.14 and 119,063.88 is: 164,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,123.32 : 283,096.14 = 119,063.88 : x
  2. Step 2: Convert to fraction form
    205,123.32/283,096.14 = 119,063.88/x
  3. Step 3: Cross multiply
    205,123.32x = 283,096.14 × 119,063.88
  4. Step 4: Simplify right side
    205,123.32x = 33,706,524,841.42
  5. Step 5: Solve for x
    x = 33,706,524,841.42/205,123.32
  6. Step 6: Final answer
    x = 164,323.22

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