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Finding the Fourth Proportional to 151,693.14, 209,336.34 and 83,710.08

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Solution

The fourth proportional to 151,693.14, 209,336.34 and 83,710.08 is: 115,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,693.14 : 209,336.34 = 83,710.08 : x
  2. Step 2: Convert to fraction form
    151,693.14/209,336.34 = 83,710.08/x
  3. Step 3: Cross multiply
    151,693.14x = 209,336.34 × 83,710.08
  4. Step 4: Simplify right side
    151,693.14x = 17,523,561,768.31
  5. Step 5: Solve for x
    x = 17,523,561,768.31/151,693.14
  6. Step 6: Final answer
    x = 115,519.80

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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.