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Finding the Fourth Proportional to 151,006.98, 208,384.31 and 83,023.43

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Solution

The fourth proportional to 151,006.98, 208,384.31 and 83,023.43 is: 114,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,006.98 : 208,384.31 = 83,023.43 : x
  2. Step 2: Convert to fraction form
    151,006.98/208,384.31 = 83,023.43/x
  3. Step 3: Cross multiply
    151,006.98x = 208,384.31 × 83,023.43
  4. Step 4: Simplify right side
    151,006.98x = 17,300,780,512.18
  5. Step 5: Solve for x
    x = 17,300,780,512.18/151,006.98
  6. Step 6: Final answer
    x = 114,569.41

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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.