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Finding the Fourth Proportional to 106,992.46, 147,492.39 and 81,454.38

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Solution

The fourth proportional to 106,992.46, 147,492.39 and 81,454.38 is: 112,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.46 : 147,492.39 = 81,454.38 : x
  2. Step 2: Convert to fraction form
    106,992.46/147,492.39 = 81,454.38/x
  3. Step 3: Cross multiply
    106,992.46x = 147,492.39 × 81,454.38
  4. Step 4: Simplify right side
    106,992.46x = 12,013,901,182.17
  5. Step 5: Solve for x
    x = 12,013,901,182.17/106,992.46
  6. Step 6: Final answer
    x = 112,287.36

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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.