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Finding the Fourth Proportional to 189,757.58, 284,683.08 and 133,707.15

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Solution

The fourth proportional to 189,757.58, 284,683.08 and 133,707.15 is: 200,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,757.58 : 284,683.08 = 133,707.15 : x
  2. Step 2: Convert to fraction form
    189,757.58/284,683.08 = 133,707.15/x
  3. Step 3: Cross multiply
    189,757.58x = 284,683.08 × 133,707.15
  4. Step 4: Simplify right side
    189,757.58x = 38,064,163,280.02
  5. Step 5: Solve for x
    x = 38,064,163,280.02/189,757.58
  6. Step 6: Final answer
    x = 200,593.64

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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.