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Finding the Fourth Proportional to 148,521.33, 204,970.30 and 84,857.76

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Solution

The fourth proportional to 148,521.33, 204,970.30 and 84,857.76 is: 117,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,521.33 : 204,970.30 = 84,857.76 : x
  2. Step 2: Convert to fraction form
    148,521.33/204,970.30 = 84,857.76/x
  3. Step 3: Cross multiply
    148,521.33x = 204,970.30 × 84,857.76
  4. Step 4: Simplify right side
    148,521.33x = 17,393,320,312.38
  5. Step 5: Solve for x
    x = 17,393,320,312.38/148,521.33
  6. Step 6: Final answer
    x = 117,109.91

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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.