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Finding the Fourth Proportional to 105,846.88, 146,068.14 and 58,101.04

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Solution

The fourth proportional to 105,846.88, 146,068.14 and 58,101.04 is: 80,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846.88 : 146,068.14 = 58,101.04 : x
  2. Step 2: Convert to fraction form
    105,846.88/146,068.14 = 58,101.04/x
  3. Step 3: Cross multiply
    105,846.88x = 146,068.14 × 58,101.04
  4. Step 4: Simplify right side
    105,846.88x = 8,486,710,844.87
  5. Step 5: Solve for x
    x = 8,486,710,844.87/105,846.88
  6. Step 6: Final answer
    x = 80,179.13

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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.