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Finding the Fourth Proportional to 137,014.32, 205,381.34 and 69,421.14

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Solution

The fourth proportional to 137,014.32, 205,381.34 and 69,421.14 is: 104,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,014.32 : 205,381.34 = 69,421.14 : x
  2. Step 2: Convert to fraction form
    137,014.32/205,381.34 = 69,421.14/x
  3. Step 3: Cross multiply
    137,014.32x = 205,381.34 × 69,421.14
  4. Step 4: Simplify right side
    137,014.32x = 14,257,806,757.53
  5. Step 5: Solve for x
    x = 14,257,806,757.53/137,014.32
  6. Step 6: Final answer
    x = 104,060.71

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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.