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Finding the Fourth Proportional to 151,013.24, 208,375.32 and 83,033

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Solution

The fourth proportional to 151,013.24, 208,375.32 and 83,033 is: 114,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,013.24 : 208,375.32 = 83,033 : x
  2. Step 2: Convert to fraction form
    151,013.24/208,375.32 = 83,033/x
  3. Step 3: Cross multiply
    151,013.24x = 208,375.32 × 83,033
  4. Step 4: Simplify right side
    151,013.24x = 17,302,027,945.56
  5. Step 5: Solve for x
    x = 17,302,027,945.56/151,013.24
  6. Step 6: Final answer
    x = 114,572.92

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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.