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Finding the Fourth Proportional to 100,143.14, 138,192.21 and 57,123.77

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Solution

The fourth proportional to 100,143.14, 138,192.21 and 57,123.77 is: 78,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143.14 : 138,192.21 = 57,123.77 : x
  2. Step 2: Convert to fraction form
    100,143.14/138,192.21 = 57,123.77/x
  3. Step 3: Cross multiply
    100,143.14x = 138,192.21 × 57,123.77
  4. Step 4: Simplify right side
    100,143.14x = 7,894,059,328.87
  5. Step 5: Solve for x
    x = 7,894,059,328.87/100,143.14
  6. Step 6: Final answer
    x = 78,827.76

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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.