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Finding the Fourth Proportional to 106,025.58, 146,314.44 and 58,278.42

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Solution

The fourth proportional to 106,025.58, 146,314.44 and 58,278.42 is: 80,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,025.58 : 146,314.44 = 58,278.42 : x
  2. Step 2: Convert to fraction form
    106,025.58/146,314.44 = 58,278.42/x
  3. Step 3: Cross multiply
    106,025.58x = 146,314.44 × 58,278.42
  4. Step 4: Simplify right side
    106,025.58x = 8,526,974,386.38
  5. Step 5: Solve for x
    x = 8,526,974,386.38/106,025.58
  6. Step 6: Final answer
    x = 80,423.75

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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.