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Finding the Fourth Proportional to 142,577, 196,800.06 and 82,188.01

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Solution

The fourth proportional to 142,577, 196,800.06 and 82,188.01 is: 113,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,577 : 196,800.06 = 82,188.01 : x
  2. Step 2: Convert to fraction form
    142,577/196,800.06 = 82,188.01/x
  3. Step 3: Cross multiply
    142,577x = 196,800.06 × 82,188.01
  4. Step 4: Simplify right side
    142,577x = 16,174,605,299.28
  5. Step 5: Solve for x
    x = 16,174,605,299.28/142,577
  6. Step 6: Final answer
    x = 113,444.70

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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.