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Finding the Fourth Proportional to 201,231.68, 277,683.44 and 116,354.20

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Solution

The fourth proportional to 201,231.68, 277,683.44 and 116,354.20 is: 160,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.68 : 277,683.44 = 116,354.20 : x
  2. Step 2: Convert to fraction form
    201,231.68/277,683.44 = 116,354.20/x
  3. Step 3: Cross multiply
    201,231.68x = 277,683.44 × 116,354.20
  4. Step 4: Simplify right side
    201,231.68x = 32,309,634,514.45
  5. Step 5: Solve for x
    x = 32,309,634,514.45/201,231.68
  6. Step 6: Final answer
    x = 160,559.38

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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.