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Finding the Fourth Proportional to 123,134, 169,924.96 and 70,142

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Solution

The fourth proportional to 123,134, 169,924.96 and 70,142 is: 96,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,134 : 169,924.96 = 70,142 : x
  2. Step 2: Convert to fraction form
    123,134/169,924.96 = 70,142/x
  3. Step 3: Cross multiply
    123,134x = 169,924.96 × 70,142
  4. Step 4: Simplify right side
    123,134x = 11,918,876,544.32
  5. Step 5: Solve for x
    x = 11,918,876,544.32/123,134
  6. Step 6: Final answer
    x = 96,795.98

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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.