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Finding the Fourth Proportional to 151,956.66, 209,689.71 and 83,973

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Solution

The fourth proportional to 151,956.66, 209,689.71 and 83,973 is: 115,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,956.66 : 209,689.71 = 83,973 : x
  2. Step 2: Convert to fraction form
    151,956.66/209,689.71 = 83,973/x
  3. Step 3: Cross multiply
    151,956.66x = 209,689.71 × 83,973
  4. Step 4: Simplify right side
    151,956.66x = 17,608,274,017.83
  5. Step 5: Solve for x
    x = 17,608,274,017.83/151,956.66
  6. Step 6: Final answer
    x = 115,876.95

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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.