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Finding the Fourth Proportional to 106,258.38, 146,636.56 and 58,511.61

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Solution

The fourth proportional to 106,258.38, 146,636.56 and 58,511.61 is: 80,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,258.38 : 146,636.56 = 58,511.61 : x
  2. Step 2: Convert to fraction form
    106,258.38/146,636.56 = 58,511.61/x
  3. Step 3: Cross multiply
    106,258.38x = 146,636.56 × 58,511.61
  4. Step 4: Simplify right side
    106,258.38x = 8,579,941,210.46
  5. Step 5: Solve for x
    x = 8,579,941,210.46/106,258.38
  6. Step 6: Final answer
    x = 80,746.02

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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.