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Finding the Fourth Proportional to 137,438.50, 206,182.38 and 70,860.76

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Solution

The fourth proportional to 137,438.50, 206,182.38 and 70,860.76 is: 106,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,438.50 : 206,182.38 = 70,860.76 : x
  2. Step 2: Convert to fraction form
    137,438.50/206,182.38 = 70,860.76/x
  3. Step 3: Cross multiply
    137,438.50x = 206,182.38 × 70,860.76
  4. Step 4: Simplify right side
    137,438.50x = 14,610,240,145.41
  5. Step 5: Solve for x
    x = 14,610,240,145.41/137,438.50
  6. Step 6: Final answer
    x = 106,303.84

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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.