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Finding the Fourth Proportional to 123,100.84, 169,892 and 75,385.90

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Solution

The fourth proportional to 123,100.84, 169,892 and 75,385.90 is: 104,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,100.84 : 169,892 = 75,385.90 : x
  2. Step 2: Convert to fraction form
    123,100.84/169,892 = 75,385.90/x
  3. Step 3: Cross multiply
    123,100.84x = 169,892 × 75,385.90
  4. Step 4: Simplify right side
    123,100.84x = 12,807,461,322.80
  5. Step 5: Solve for x
    x = 12,807,461,322.80/123,100.84
  6. Step 6: Final answer
    x = 104,040.41

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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.