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Finding the Fourth Proportional to 116,485, 160,762.26 and 71,773

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Solution

The fourth proportional to 116,485, 160,762.26 and 71,773 is: 99,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,485 : 160,762.26 = 71,773 : x
  2. Step 2: Convert to fraction form
    116,485/160,762.26 = 71,773/x
  3. Step 3: Cross multiply
    116,485x = 160,762.26 × 71,773
  4. Step 4: Simplify right side
    116,485x = 11,538,389,686.98
  5. Step 5: Solve for x
    x = 11,538,389,686.98/116,485
  6. Step 6: Final answer
    x = 99,054.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.