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Finding the Fourth Proportional to 102,998.74, 142,126.51 and 57,670.42

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Solution

The fourth proportional to 102,998.74, 142,126.51 and 57,670.42 is: 79,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,998.74 : 142,126.51 = 57,670.42 : x
  2. Step 2: Convert to fraction form
    102,998.74/142,126.51 = 57,670.42/x
  3. Step 3: Cross multiply
    102,998.74x = 142,126.51 × 57,670.42
  4. Step 4: Simplify right side
    102,998.74x = 8,196,494,670.03
  5. Step 5: Solve for x
    x = 8,196,494,670.03/102,998.74
  6. Step 6: Final answer
    x = 79,578.60

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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.