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Finding the Fourth Proportional to 147,312.34, 203,275.88 and 82,771.33

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Solution

The fourth proportional to 147,312.34, 203,275.88 and 82,771.33 is: 114,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,312.34 : 203,275.88 = 82,771.33 : x
  2. Step 2: Convert to fraction form
    147,312.34/203,275.88 = 82,771.33/x
  3. Step 3: Cross multiply
    147,312.34x = 203,275.88 × 82,771.33
  4. Step 4: Simplify right side
    147,312.34x = 16,825,414,944.52
  5. Step 5: Solve for x
    x = 16,825,414,944.52/147,312.34
  6. Step 6: Final answer
    x = 114,215.92

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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.