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Finding the Fourth Proportional to 146,805.87, 202,594.77 and 83,156.88

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Solution

The fourth proportional to 146,805.87, 202,594.77 and 83,156.88 is: 114,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,805.87 : 202,594.77 = 83,156.88 : x
  2. Step 2: Convert to fraction form
    146,805.87/202,594.77 = 83,156.88/x
  3. Step 3: Cross multiply
    146,805.87x = 202,594.77 × 83,156.88
  4. Step 4: Simplify right side
    146,805.87x = 16,847,148,977.52
  5. Step 5: Solve for x
    x = 16,847,148,977.52/146,805.87
  6. Step 6: Final answer
    x = 114,758.01

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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.