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Finding the Fourth Proportional to 106,119.66, 146,442.04 and 58,373

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Solution

The fourth proportional to 106,119.66, 146,442.04 and 58,373 is: 80,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,119.66 : 146,442.04 = 58,373 : x
  2. Step 2: Convert to fraction form
    106,119.66/146,442.04 = 58,373/x
  3. Step 3: Cross multiply
    106,119.66x = 146,442.04 × 58,373
  4. Step 4: Simplify right side
    106,119.66x = 8,548,261,200.92
  5. Step 5: Solve for x
    x = 8,548,261,200.92/106,119.66
  6. Step 6: Final answer
    x = 80,553.04

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1.5x scale

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.