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Finding the Fourth Proportional to 151,114.84, 208,538.92 and 83,138.78

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Solution

The fourth proportional to 151,114.84, 208,538.92 and 83,138.78 is: 114,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,114.84 : 208,538.92 = 83,138.78 : x
  2. Step 2: Convert to fraction form
    151,114.84/208,538.92 = 83,138.78/x
  3. Step 3: Cross multiply
    151,114.84x = 208,538.92 × 83,138.78
  4. Step 4: Simplify right side
    151,114.84x = 17,337,671,391.32
  5. Step 5: Solve for x
    x = 17,337,671,391.32/151,114.84
  6. Step 6: Final answer
    x = 114,731.76

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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.