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Finding the Fourth Proportional to 146,595.99, 202,291.31 and 82,937.89

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Solution

The fourth proportional to 146,595.99, 202,291.31 and 82,937.89 is: 114,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,595.99 : 202,291.31 = 82,937.89 : x
  2. Step 2: Convert to fraction form
    146,595.99/202,291.31 = 82,937.89/x
  3. Step 3: Cross multiply
    146,595.99x = 202,291.31 × 82,937.89
  4. Step 4: Simplify right side
    146,595.99x = 16,777,614,416.74
  5. Step 5: Solve for x
    x = 16,777,614,416.74/146,595.99
  6. Step 6: Final answer
    x = 114,447.98

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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.