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Finding the Fourth Proportional to 151,009.23, 208,395.15 and 83,029.17

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Solution

The fourth proportional to 151,009.23, 208,395.15 and 83,029.17 is: 114,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,009.23 : 208,395.15 = 83,029.17 : x
  2. Step 2: Convert to fraction form
    151,009.23/208,395.15 = 83,029.17/x
  3. Step 3: Cross multiply
    151,009.23x = 208,395.15 × 83,029.17
  4. Step 4: Simplify right side
    151,009.23x = 17,302,876,336.53
  5. Step 5: Solve for x
    x = 17,302,876,336.53/151,009.23
  6. Step 6: Final answer
    x = 114,581.58

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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.