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Finding the Fourth Proportional to 146,193.99, 201,742 and 91,775.42

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Solution

The fourth proportional to 146,193.99, 201,742 and 91,775.42 is: 126,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,193.99 : 201,742 = 91,775.42 : x
  2. Step 2: Convert to fraction form
    146,193.99/201,742 = 91,775.42/x
  3. Step 3: Cross multiply
    146,193.99x = 201,742 × 91,775.42
  4. Step 4: Simplify right side
    146,193.99x = 18,514,956,781.64
  5. Step 5: Solve for x
    x = 18,514,956,781.64/146,193.99
  6. Step 6: Final answer
    x = 126,646.50

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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.