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Finding the Fourth Proportional to 185,697.38, 256,265.42 and 100,814.51

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Solution

The fourth proportional to 185,697.38, 256,265.42 and 100,814.51 is: 139,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,697.38 : 256,265.42 = 100,814.51 : x
  2. Step 2: Convert to fraction form
    185,697.38/256,265.42 = 100,814.51/x
  3. Step 3: Cross multiply
    185,697.38x = 256,265.42 × 100,814.51
  4. Step 4: Simplify right side
    185,697.38x = 25,835,270,961.84
  5. Step 5: Solve for x
    x = 25,835,270,961.84/185,697.38
  6. Step 6: Final answer
    x = 139,125.67

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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.