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Finding the Fourth Proportional to 151,129.06, 208,563.70 and 83,149

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Solution

The fourth proportional to 151,129.06, 208,563.70 and 83,149 is: 114,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,129.06 : 208,563.70 = 83,149 : x
  2. Step 2: Convert to fraction form
    151,129.06/208,563.70 = 83,149/x
  3. Step 3: Cross multiply
    151,129.06x = 208,563.70 × 83,149
  4. Step 4: Simplify right side
    151,129.06x = 17,341,863,091.30
  5. Step 5: Solve for x
    x = 17,341,863,091.30/151,129.06
  6. Step 6: Final answer
    x = 114,748.70

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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.