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Finding the Fourth Proportional to 100,730.90, 138,993.08 and 58,293.38

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Solution

The fourth proportional to 100,730.90, 138,993.08 and 58,293.38 is: 80,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730.90 : 138,993.08 = 58,293.38 : x
  2. Step 2: Convert to fraction form
    100,730.90/138,993.08 = 58,293.38/x
  3. Step 3: Cross multiply
    100,730.90x = 138,993.08 × 58,293.38
  4. Step 4: Simplify right side
    100,730.90x = 8,102,376,429.81
  5. Step 5: Solve for x
    x = 8,102,376,429.81/100,730.90
  6. Step 6: Final answer
    x = 80,435.86

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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.