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Finding the Fourth Proportional to 106,145.41, 146,482.94 and 58,398.90

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Solution

The fourth proportional to 106,145.41, 146,482.94 and 58,398.90 is: 80,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,145.41 : 146,482.94 = 58,398.90 : x
  2. Step 2: Convert to fraction form
    106,145.41/146,482.94 = 58,398.90/x
  3. Step 3: Cross multiply
    106,145.41x = 146,482.94 × 58,398.90
  4. Step 4: Simplify right side
    106,145.41x = 8,554,442,564.77
  5. Step 5: Solve for x
    x = 8,554,442,564.77/106,145.41
  6. Step 6: Final answer
    x = 80,591.73

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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.