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Finding the Fourth Proportional to 146,878.86, 202,692.30 and 83,228.82

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Solution

The fourth proportional to 146,878.86, 202,692.30 and 83,228.82 is: 114,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,878.86 : 202,692.30 = 83,228.82 : x
  2. Step 2: Convert to fraction form
    146,878.86/202,692.30 = 83,228.82/x
  3. Step 3: Cross multiply
    146,878.86x = 202,692.30 × 83,228.82
  4. Step 4: Simplify right side
    146,878.86x = 16,869,840,952.09
  5. Step 5: Solve for x
    x = 16,869,840,952.09/146,878.86
  6. Step 6: Final answer
    x = 114,855.47

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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.