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Finding the Fourth Proportional to 365,738.40, 548,668.53 and 125,842.50

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Solution

The fourth proportional to 365,738.40, 548,668.53 and 125,842.50 is: 188,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,738.40 : 548,668.53 = 125,842.50 : x
  2. Step 2: Convert to fraction form
    365,738.40/548,668.53 = 125,842.50/x
  3. Step 3: Cross multiply
    365,738.40x = 548,668.53 × 125,842.50
  4. Step 4: Simplify right side
    365,738.40x = 69,045,819,486.53
  5. Step 5: Solve for x
    x = 69,045,819,486.53/365,738.40
  6. Step 6: Final answer
    x = 188,784.71

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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.