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Finding the Fourth Proportional to 243,738.48, 365,473.74 and 75,212.82

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Solution

The fourth proportional to 243,738.48, 365,473.74 and 75,212.82 is: 112,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,738.48 : 365,473.74 = 75,212.82 : x
  2. Step 2: Convert to fraction form
    243,738.48/365,473.74 = 75,212.82/x
  3. Step 3: Cross multiply
    243,738.48x = 365,473.74 × 75,212.82
  4. Step 4: Simplify right side
    243,738.48x = 27,488,310,621.35
  5. Step 5: Solve for x
    x = 27,488,310,621.35/243,738.48
  6. Step 6: Final answer
    x = 112,777.89

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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.