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Finding the Fourth Proportional to 151,029.68, 208,426.31 and 83,051.81

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Solution

The fourth proportional to 151,029.68, 208,426.31 and 83,051.81 is: 114,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,029.68 : 208,426.31 = 83,051.81 : x
  2. Step 2: Convert to fraction form
    151,029.68/208,426.31 = 83,051.81/x
  3. Step 3: Cross multiply
    151,029.68x = 208,426.31 × 83,051.81
  4. Step 4: Simplify right side
    151,029.68x = 17,310,182,297.12
  5. Step 5: Solve for x
    x = 17,310,182,297.12/151,029.68
  6. Step 6: Final answer
    x = 114,614.44

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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.