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Finding the Fourth Proportional to 133,774.94, 200,683.17 and 45,021.52

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Solution

The fourth proportional to 133,774.94, 200,683.17 and 45,021.52 is: 67,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774.94 : 200,683.17 = 45,021.52 : x
  2. Step 2: Convert to fraction form
    133,774.94/200,683.17 = 45,021.52/x
  3. Step 3: Cross multiply
    133,774.94x = 200,683.17 × 45,021.52
  4. Step 4: Simplify right side
    133,774.94x = 9,035,061,602.67
  5. Step 5: Solve for x
    x = 9,035,061,602.67/133,774.94
  6. Step 6: Final answer
    x = 67,539.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.