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Finding the Fourth Proportional to 102,127.14, 140,935.44 and 57,415.14

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Solution

The fourth proportional to 102,127.14, 140,935.44 and 57,415.14 is: 79,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,127.14 : 140,935.44 = 57,415.14 : x
  2. Step 2: Convert to fraction form
    102,127.14/140,935.44 = 57,415.14/x
  3. Step 3: Cross multiply
    102,127.14x = 140,935.44 × 57,415.14
  4. Step 4: Simplify right side
    102,127.14x = 8,091,828,018.56
  5. Step 5: Solve for x
    x = 8,091,828,018.56/102,127.14
  6. Step 6: Final answer
    x = 79,232.89

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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.