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Finding the Fourth Proportional to 143,179.74, 197,456.00 and 97,307.82

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Solution

The fourth proportional to 143,179.74, 197,456.00 and 97,307.82 is: 134,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,179.74 : 197,456.00 = 97,307.82 : x
  2. Step 2: Convert to fraction form
    143,179.74/197,456.00 = 97,307.82/x
  3. Step 3: Cross multiply
    143,179.74x = 197,456.00 × 97,307.82
  4. Step 4: Simplify right side
    143,179.74x = 19,214,012,419.38
  5. Step 5: Solve for x
    x = 19,214,012,419.38/143,179.74
  6. Step 6: Final answer
    x = 134,195.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.