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Finding the Fourth Proportional to 151,427.34, 208,971.13 and 83,446.74

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Solution

The fourth proportional to 151,427.34, 208,971.13 and 83,446.74 is: 115,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,427.34 : 208,971.13 = 83,446.74 : x
  2. Step 2: Convert to fraction form
    151,427.34/208,971.13 = 83,446.74/x
  3. Step 3: Cross multiply
    151,427.34x = 208,971.13 × 83,446.74
  4. Step 4: Simplify right side
    151,427.34x = 17,437,959,552.62
  5. Step 5: Solve for x
    x = 17,437,959,552.62/151,427.34
  6. Step 6: Final answer
    x = 115,157.27

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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.