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Finding the Fourth Proportional to 153,771.50, 212,204.77 and 85,788.47

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Solution

The fourth proportional to 153,771.50, 212,204.77 and 85,788.47 is: 118,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771.50 : 212,204.77 = 85,788.47 : x
  2. Step 2: Convert to fraction form
    153,771.50/212,204.77 = 85,788.47/x
  3. Step 3: Cross multiply
    153,771.50x = 212,204.77 × 85,788.47
  4. Step 4: Simplify right side
    153,771.50x = 18,204,722,861.04
  5. Step 5: Solve for x
    x = 18,204,722,861.04/153,771.50
  6. Step 6: Final answer
    x = 118,388.14

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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.