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Finding the Fourth Proportional to 503,749.53, 755,771.31 and 188,133.84

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Solution

The fourth proportional to 503,749.53, 755,771.31 and 188,133.84 is: 282,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,749.53 : 755,771.31 = 188,133.84 : x
  2. Step 2: Convert to fraction form
    503,749.53/755,771.31 = 188,133.84/x
  3. Step 3: Cross multiply
    503,749.53x = 755,771.31 × 188,133.84
  4. Step 4: Simplify right side
    503,749.53x = 142,186,158,712.13
  5. Step 5: Solve for x
    x = 142,186,158,712.13/503,749.53
  6. Step 6: Final answer
    x = 282,255.67

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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.