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Finding the Fourth Proportional to 158,709, 238,123.44 and 83,826.12

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Solution

The fourth proportional to 158,709, 238,123.44 and 83,826.12 is: 125,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,709 : 238,123.44 = 83,826.12 : x
  2. Step 2: Convert to fraction form
    158,709/238,123.44 = 83,826.12/x
  3. Step 3: Cross multiply
    158,709x = 238,123.44 × 83,826.12
  4. Step 4: Simplify right side
    158,709x = 19,960,964,056.25
  5. Step 5: Solve for x
    x = 19,960,964,056.25/158,709
  6. Step 6: Final answer
    x = 125,770.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.