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Finding the Fourth Proportional to 102,116.77, 140,900.28 and 59,667.10

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Solution

The fourth proportional to 102,116.77, 140,900.28 and 59,667.10 is: 82,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,116.77 : 140,900.28 = 59,667.10 : x
  2. Step 2: Convert to fraction form
    102,116.77/140,900.28 = 59,667.10/x
  3. Step 3: Cross multiply
    102,116.77x = 140,900.28 × 59,667.10
  4. Step 4: Simplify right side
    102,116.77x = 8,407,111,096.79
  5. Step 5: Solve for x
    x = 8,407,111,096.79/102,116.77
  6. Step 6: Final answer
    x = 82,328.41

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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.