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Finding the Fourth Proportional to 102,990, 142,109.76 and 57,669.96

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Solution

The fourth proportional to 102,990, 142,109.76 and 57,669.96 is: 79,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,990 : 142,109.76 = 57,669.96 : x
  2. Step 2: Convert to fraction form
    102,990/142,109.76 = 57,669.96/x
  3. Step 3: Cross multiply
    102,990x = 142,109.76 × 57,669.96
  4. Step 4: Simplify right side
    102,990x = 8,195,464,174.81
  5. Step 5: Solve for x
    x = 8,195,464,174.81/102,990
  6. Step 6: Final answer
    x = 79,575.34

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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.