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Finding the Fourth Proportional to 151,411.89, 208,945.66 and 83,435.14

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Solution

The fourth proportional to 151,411.89, 208,945.66 and 83,435.14 is: 115,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,411.89 : 208,945.66 = 83,435.14 : x
  2. Step 2: Convert to fraction form
    151,411.89/208,945.66 = 83,435.14/x
  3. Step 3: Cross multiply
    151,411.89x = 208,945.66 × 83,435.14
  4. Step 4: Simplify right side
    151,411.89x = 17,433,410,603.53
  5. Step 5: Solve for x
    x = 17,433,410,603.53/151,411.89
  6. Step 6: Final answer
    x = 115,138.98

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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.