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Finding the Fourth Proportional to 149,347.00, 206,098.01 and 81,363.83

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Solution

The fourth proportional to 149,347.00, 206,098.01 and 81,363.83 is: 112,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,347.00 : 206,098.01 = 81,363.83 : x
  2. Step 2: Convert to fraction form
    149,347.00/206,098.01 = 81,363.83/x
  3. Step 3: Cross multiply
    149,347.00x = 206,098.01 × 81,363.83
  4. Step 4: Simplify right side
    149,347.00x = 16,768,923,557.40
  5. Step 5: Solve for x
    x = 16,768,923,557.40/149,347.00
  6. Step 6: Final answer
    x = 112,281.62

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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.