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Finding the Fourth Proportional to 118,712.10, 163,899.18 and 105,943.44

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Solution

The fourth proportional to 118,712.10, 163,899.18 and 105,943.44 is: 146,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,712.10 : 163,899.18 = 105,943.44 : x
  2. Step 2: Convert to fraction form
    118,712.10/163,899.18 = 105,943.44/x
  3. Step 3: Cross multiply
    118,712.10x = 163,899.18 × 105,943.44
  4. Step 4: Simplify right side
    118,712.10x = 17,364,042,942.38
  5. Step 5: Solve for x
    x = 17,364,042,942.38/118,712.10
  6. Step 6: Final answer
    x = 146,270.20

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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.