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Finding the Fourth Proportional to 138,670.14, 190,729.98 and 114,299.67

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Solution

The fourth proportional to 138,670.14, 190,729.98 and 114,299.67 is: 157,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,670.14 : 190,729.98 = 114,299.67 : x
  2. Step 2: Convert to fraction form
    138,670.14/190,729.98 = 114,299.67/x
  3. Step 3: Cross multiply
    138,670.14x = 190,729.98 × 114,299.67
  4. Step 4: Simplify right side
    138,670.14x = 21,800,373,773.11
  5. Step 5: Solve for x
    x = 21,800,373,773.11/138,670.14
  6. Step 6: Final answer
    x = 157,210.30

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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.