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Finding the Fourth Proportional to 106,062, 146,361.80 and 58,315

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Solution

The fourth proportional to 106,062, 146,361.80 and 58,315 is: 80,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062 : 146,361.80 = 58,315 : x
  2. Step 2: Convert to fraction form
    106,062/146,361.80 = 58,315/x
  3. Step 3: Cross multiply
    106,062x = 146,361.80 × 58,315
  4. Step 4: Simplify right side
    106,062x = 8,535,088,367.00
  5. Step 5: Solve for x
    x = 8,535,088,367.00/106,062
  6. Step 6: Final answer
    x = 80,472.63

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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.