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Finding the Fourth Proportional to 151,383.94, 208,907.13 and 84,314.50

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Solution

The fourth proportional to 151,383.94, 208,907.13 and 84,314.50 is: 116,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,383.94 : 208,907.13 = 84,314.50 : x
  2. Step 2: Convert to fraction form
    151,383.94/208,907.13 = 84,314.50/x
  3. Step 3: Cross multiply
    151,383.94x = 208,907.13 × 84,314.50
  4. Step 4: Simplify right side
    151,383.94x = 17,613,900,212.39
  5. Step 5: Solve for x
    x = 17,613,900,212.39/151,383.94
  6. Step 6: Final answer
    x = 116,352.50

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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.