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Finding the Fourth Proportional to 510,486.22, 765,729.33 and 136,499.50

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Solution

The fourth proportional to 510,486.22, 765,729.33 and 136,499.50 is: 204,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,486.22 : 765,729.33 = 136,499.50 : x
  2. Step 2: Convert to fraction form
    510,486.22/765,729.33 = 136,499.50/x
  3. Step 3: Cross multiply
    510,486.22x = 765,729.33 × 136,499.50
  4. Step 4: Simplify right side
    510,486.22x = 104,521,670,680.34
  5. Step 5: Solve for x
    x = 104,521,670,680.34/510,486.22
  6. Step 6: Final answer
    x = 204,749.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.