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Finding the Fourth Proportional to 106,015.44, 146,304 and 58,270

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Solution

The fourth proportional to 106,015.44, 146,304 and 58,270 is: 80,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,015.44 : 146,304 = 58,270 : x
  2. Step 2: Convert to fraction form
    106,015.44/146,304 = 58,270/x
  3. Step 3: Cross multiply
    106,015.44x = 146,304 × 58,270
  4. Step 4: Simplify right side
    106,015.44x = 8,525,134,080
  5. Step 5: Solve for x
    x = 8,525,134,080/106,015.44
  6. Step 6: Final answer
    x = 80,414.08

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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.