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Finding the Fourth Proportional to 76,403,232.80, 114,352,906.80 and 53,728,416.80

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Solution

The fourth proportional to 76,403,232.80, 114,352,906.80 and 53,728,416.80 is: 80,415,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403,232.80 : 114,352,906.80 = 53,728,416.80 : x
  2. Step 2: Convert to fraction form
    76,403,232.80/114,352,906.80 = 53,728,416.80/x
  3. Step 3: Cross multiply
    76,403,232.80x = 114,352,906.80 × 53,728,416.80
  4. Step 4: Simplify right side
    76,403,232.80x = 6,144,000,638,841,954
  5. Step 5: Solve for x
    x = 6,144,000,638,841,954/76,403,232.80
  6. Step 6: Final answer
    x = 80,415,453.82

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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.