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Finding the Fourth Proportional to 133,412.10, 200,348.55 and 71,204.10

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Solution

The fourth proportional to 133,412.10, 200,348.55 and 71,204.10 is: 106,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412.10 : 200,348.55 = 71,204.10 : x
  2. Step 2: Convert to fraction form
    133,412.10/200,348.55 = 71,204.10/x
  3. Step 3: Cross multiply
    133,412.10x = 200,348.55 × 71,204.10
  4. Step 4: Simplify right side
    133,412.10x = 14,265,638,189.06
  5. Step 5: Solve for x
    x = 14,265,638,189.06/133,412.10
  6. Step 6: Final answer
    x = 106,929.12

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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.