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Finding the Fourth Proportional to 151,092, 208,511.55 and 83,105.46

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Solution

The fourth proportional to 151,092, 208,511.55 and 83,105.46 is: 114,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,092 : 208,511.55 = 83,105.46 : x
  2. Step 2: Convert to fraction form
    151,092/208,511.55 = 83,105.46/x
  3. Step 3: Cross multiply
    151,092x = 208,511.55 × 83,105.46
  4. Step 4: Simplify right side
    151,092x = 17,328,448,278.06
  5. Step 5: Solve for x
    x = 17,328,448,278.06/151,092
  6. Step 6: Final answer
    x = 114,688.06

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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.