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Finding the Fourth Proportional to 106,356.95, 146,770.69 and 57,959.30

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Solution

The fourth proportional to 106,356.95, 146,770.69 and 57,959.30 is: 79,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356.95 : 146,770.69 = 57,959.30 : x
  2. Step 2: Convert to fraction form
    106,356.95/146,770.69 = 57,959.30/x
  3. Step 3: Cross multiply
    106,356.95x = 146,770.69 × 57,959.30
  4. Step 4: Simplify right side
    106,356.95x = 8,506,726,452.92
  5. Step 5: Solve for x
    x = 8,506,726,452.92/106,356.95
  6. Step 6: Final answer
    x = 79,982.80

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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.