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Finding the Fourth Proportional to 133,784.30, 200,506.35 and 54,809.30

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Solution

The fourth proportional to 133,784.30, 200,506.35 and 54,809.30 is: 82,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.30 : 200,506.35 = 54,809.30 : x
  2. Step 2: Convert to fraction form
    133,784.30/200,506.35 = 54,809.30/x
  3. Step 3: Cross multiply
    133,784.30x = 200,506.35 × 54,809.30
  4. Step 4: Simplify right side
    133,784.30x = 10,989,612,689.06
  5. Step 5: Solve for x
    x = 10,989,612,689.06/133,784.30
  6. Step 6: Final answer
    x = 82,144.26

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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.