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Finding the Fourth Proportional to 143,454, 197,966.52 and 83,838

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Solution

The fourth proportional to 143,454, 197,966.52 and 83,838 is: 115,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,454 : 197,966.52 = 83,838 : x
  2. Step 2: Convert to fraction form
    143,454/197,966.52 = 83,838/x
  3. Step 3: Cross multiply
    143,454x = 197,966.52 × 83,838
  4. Step 4: Simplify right side
    143,454x = 16,597,117,103.76
  5. Step 5: Solve for x
    x = 16,597,117,103.76/143,454
  6. Step 6: Final answer
    x = 115,696.44

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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.