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Finding the Fourth Proportional to 122,969.34, 169,633.50 and 77,631

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Solution

The fourth proportional to 122,969.34, 169,633.50 and 77,631 is: 107,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,969.34 : 169,633.50 = 77,631 : x
  2. Step 2: Convert to fraction form
    122,969.34/169,633.50 = 77,631/x
  3. Step 3: Cross multiply
    122,969.34x = 169,633.50 × 77,631
  4. Step 4: Simplify right side
    122,969.34x = 13,168,818,238.50
  5. Step 5: Solve for x
    x = 13,168,818,238.50/122,969.34
  6. Step 6: Final answer
    x = 107,090.26

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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.